find integral using table of integrals ) integral sin^4xdx this the formula i used integral sin^n xdx =1/n sin^n1xcosx +n1/n integral sin^n2 using the formula this is what i got: integral sin^4xdx=1/4sin^3xcosx+3/4 integral sin^2xdx= 1/2sinxcosx+1/2 integral 1 dx can someone
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calc
find integral using table of integrals ) integral sin^4xdx this the formula i used integral sin^n xdx =1/n sin^n1xcosx +n1/n integral sin^n2 using the formula this is what i got: integral sin^4xdx=1/4sin^3xcosx+3/4 integral sin^2xdx= 1/2sinxcosx+1/2 integral 1 dx can ... 
Integral
That's the same as the integral of sin^2 x dx. Use integration by parts. Let sin x = u and sin x dx = dv v = cos x du = cos x dx The integral is u v  integral of v du = sinx cosx + integral of cos^2 dx which can be rewritten integral of sin^2 x = sinx cos x + integral of (... 
Calculus
Hello, I'm having trouble with this exercise. Can you help me? Integral of (x* (csc x)^2)dx I'm using the uv  integral v du formula. I tried with u= (csc x)^2 and used some trigonometric formulas, but the expression became too complicated, I couldn't continue working. Then I ... 
Integration by Parts
integral from 0 to 2pi of isin(t)e^(it)dt. I know my answer should be pi. **I pull i out because it is a constant. My work: let u=e^(it) du=ie^(it)dt dv=sin(t) v=cos(t) i integral sin(t)e^(it)dt= e^(it)cos(t)+i*integral cost(t)e^(it)dt do integration by parts again, then I ... 
Integral Help
I need to find the integral of (sin x)/ cos^3 x I let u= cos x, then got du= sin x (Is this right correct?) I then rewrote the integral as the integral of du/ u^3 and then rewrote that as the integral of  du(u^3). For this part, I wasn't sure how to finish. I was hoping to... 
trig integration
s integral endpoints are 0 and pi/2 i need to find the integral of sin^2 (2x) dx. i know that the answer is pi/4, but im not sure how to get to it. i know: s sin^2(2x)dx= 1/2 [1cos (4x)] dx, but then i'm confused. The indefinite integral of (1/2) [1cos (4x)] is (x/2)  (1/2... 
trig integration
i'm having trouble evaluating the integral at pi/2 and 0. i know: s (at pi/2 and 0) sin^2 (2x)dx= s 1/2[1cos(2x)]dx= s 1/2(xsin(4x))dx= (x/2) 1/8[sin (4x)] i don't understand how you get pi/4 You made a few mistakes, check again. But you don't need to do any calculations to... 
math
I'm trying to find the convolution f*g where f(t)=g(t)=sin(t). I set up the integral and proceed to do integration by parts twice, but it keeps working out to 0=0 or sin(t)=sin(t). How am I supposed to approach it? integral (sin(u)sin(tu)) du from 0 to t. 
calculus
1. integral oo, oo [(2x)/(x^2+1)^2] dx 2. integral 0, pi/2 cot(theta) d(theta) (a) state why the integral is improper or involves improper integral (b) determine whether the integral converges or diverges converges? (c) evaluate the integral if it converges CONFUSE: how would... 
Calculus
Evaluate the integral. S= integral sign I= absolute value S ((cos x)/(2 + sin x))dx Not sure if I'm doing this right: u= 2 + sin x du= 0 + cos x dx = S du/u = ln IuI + C = ln I 2 + sin x I + C = ln (2 + sin x) + C Another problem: S ((sin (ln x))/(x)) dx I don't even know what... 
Calculus
I have two questions, because I'm preparing for a math test on monday. 1. Use the fundamental theorem of calculus to find the derivative: (d/dt) the integral over [0, cos t] of (3/5(u^2))du I have a feeling I will be able to find the derivative easily, I'm just having trouble... 
Calculus
Hello Everyone, I need help with Calc II. 1. Integral from 0 to 1 of (sin(3*pi*t))dt For this one, I got 1/3pi cos (9 pi^2) + 1/3pi 2. indefinite integral of sinxcos(cosx)dx I got sin(cosx) + C 3. Indefinite integral of x over (root (1x^4))dx I don't know how to solve this. ... 
calculus
Using an integration formula,what is the indefinite integral of (sign for integral)(cos(4x)+2x^2)(sin(4x)x)dx. Any help very much appreciated. 
math
Generalize this to fine a formula for the integral: sin(ax)cos(bx)dx Could someone tell me what they got for an answer so I can check it to see if my answer is right. My answer: 1/2sinasinbx^21/3acosaxcosbx^3+ integral 1/3 a^2cosbx^3sinax..I'm not sure hot to find the ... 
calculus
Hi, could someone please help me with this hw question asap? Given that the integral of (e^x*sin(5x))dx=((e^x)/26)*(sin(5x)5cos(5x))+c, evaluate the integral from 1 to e^(pi/10) of sin(5ln(x))dx 
Calculus
Use the identity sin^2x+cos^2x=1 and the fact that sin^2x and cos^2x are mirror images in [0,pi/2], evaluate the integral from (0pi/2) of sin^2xdx. I know how to calculate the integral using another trig identity, but I'm confused about how to solve this one. 
Calculus
Use the identity sin^2x+cos^2x=1 and the fact that sin^2x and cos^2x are mirror images in [0,pi/2], evaluate the integral from (0pi/2) of sin^2xdx. I know how to calculate the integral using another trig identity, but I'm confused about how to solve this one. 
Calculus
F(x) = cos(x) • the integral from 2 to x² + 1 of e^(u² +5)du Find F'(x). When i did this, i got: 2xsin(x)e^((x²+1)² + 5) But my teacher got: sin(x) • the integral from x² + 1 of e^(u² +5)du + 2xcos(x)e^((x²+1)² + 5) Do you know why the integral is in his answer? ... 
Calc
Evaluate the integral using any method: (Integral)sec^3x/tanx dx I started it out and got secx(1tan^2x)/tanx. I know I just have to continue simplifying and finding the integral, but I'm stuck on the next couple of steps. Also, I have another question witht he same directions... 
[Calculus] Usubstitution for Integrals
Integral of cos(x)*a^sin(x) + C dx = Integral of cos(x)*sin(x)^a + C dx = Let a be a fixed positive number. I'm clueless is to how to solve for a... 
double integral
1. Sketch the region of integration & reverse the order of integration. Double integral y dydz... 1st (top=1, bottom =0)... 2nd(inner) integral (top=cos(piex), bottom=(x2)... 2. Evaluate the integral by reversing the order of integration. double integral sqrt(2+x^3) dxdy... ... 
Math/Calculus
How would I integrate the following by parts: Integral of: (x^2)(sin (ax))dx, where a is any constant. Just like you did x^2 exp(x) below. Also partial integration is not the easiest way to do this integral. You can also use this method. Evaluate first: integral of sin(ax)dx... 
Calc BC
1. Find the indefinite integral. Indefinite integral tan^3(pix/7)sec^2(pix/7)dx 2. Find the indefinite integral by making the substitution x=3tan(theta). Indefinite integral x*sqrt(9+x^2)dx 3. Find the indefinite integral. Indefinite integral cos(x)sin^3(x)dx 
Calculus
I need help with this integral. w= the integral from 0 to 5 24e^6t cos(2t) dt. i found the the integration in the integral table. (e^ax/a^2 + b^2) (a cos bx + b sin bx) im having trouble finishing the problem from here. 
Math
Calculate the integrals if they converge. 10.) Integral from 1 to infinity of X/4+X^2 dx 14.) integral from Pi/2 to Pi/4 of Sin X / sqrt cos x dx 22.) integral from 0 to 1 of ln x/x dx I'm having problems with working these out to figure out if they converge or not. Any help ... 
Calculus
In the interval (0 is less than or equal to x which is less than or equal to 5), the graphs of y=cos(2x) and y=sin(3x) intersect four times. Let A, B, C, and D be the xcoordinates of these points so that 0<A<B<C<D<5. Which of the definite integrals below ... 
Calculus
Hello, I have some calculus homework that I can't seem to get started..at least not on the right track? I have 3 questions 1. integral of [(p^5)*(lnp)dp] I'm using the uvintegral v du formula So first, I'm finding u and I think it's lnp.......so du is 1/p Then, I think dv = p... 
Math  complex numbers
These questions are related to de moivre's theorem: z^n + 1/z^n = 2cosntheta z^n  1/z^n = 2 isin ntheta 1. Express sin^5theta in the form Asintheta + Bsin3theta + Csin5theta and hence find the integral of sin^5theta. 2. Express sin^6theta in multiples of costheta and hence ... 
Math
Identify u and du for the integral. 1. The integral of [(cosx)/(sin^(2)x)]dx 2. The integral of sec2xtan2xdx 
Calculus II
Evaluate the integral using method of integration by parts: (integral sign)(e^(2x))sin(5x)dx 
calc asap!
can you help me get started on this integral by parts? 4 S sqrt(t) ln(t) dt 1 please help! thanks! Integral t^(1/2)Ln(t)dt = 2/3 t^(3/2)Ln(t) 2/3 Integral t^(1/2) dt = 2/3 t^(3/2)Ln(t)  4/9 t^(3/2) Simpler method: Integral t^(a)dt = t^(a+1)/(a+1) Integral d/da [t^(a)]dt = d/... 
Calc.
Evaluate the definite integral. S b= sqrt(Pi) a= 0 xcos(x^2)dx I'm not sure if this is right? u= x^2 du= 2xdx du/2= xdx S (1/2)cos(u) S (1/2)*sin(x^2) [0.5 * sin(sqrt(Pi))^2]  [0.5 * sin(0)^2] 0  0 = 0, so zero is the answer? 
Calculus
If f(x) and g(x) are continuous on [a, b], which one of the following statements is true? ~the integral from a to b of the difference of f of x and g of x, dx equals the integral from a to b of f of x, dx minus the integral from a to b of g of x dx ~the integral from a to a of... 
calc
how do you start this problem: integral of xe^(2x) There are two ways: 1) Integration by parts. 2) Differentiation w.r.t. a suitably chosen parameter. Lets do 1) first. This is the "standard method", but it is often more tedious than 2) You first write the integral as: ... 
integral calculus
integral of sin(x^2) dx i actually got the ans, but aftr differentiating the answer i am not getting back the question 
Calculus Problem
I need to find the integral of e^(2x)sin(3x) I used integration by parts and I let u=e^2x and dv=sin(3x) My final answer was (3/8)(e^(2x))(cos(3x))  (1/8)(e^(2x))(sin(3x)) but it's wrong. Please help!! 
Calculus II
Integrate using integration by parts (integral) (5x) e^3x u = 5x du = dx dv = e^3x v = 3e^3x I wonder if this is right so far. = uv  (integral) v du = (5x)(3e^3x)  (integral) (3e^3x) =(5x)(3e^3x) + (integral) (3e^3x) = (5x)(3e^3x) + 9e^3x + C 
Calculus!!
Using the identity: L{f(t)/t}=integral F(p)dp (s >infinity), find the integral of: sin(t)/t dt (0>infinity) 
Integral
Find the Laplace transforms of the following functions. f1(t) = integral 0 from t (cos(ta)*(sin(a))da 
Calculus
S=integral sign S3x(4x^2)^1/2 use trig substitution I am confused I got x sin(sin^1(x/2))+cos(sin^1(x/2)) 
Math
Find the integrals. (show steps) (integral sign) xe^(4x^2) I think this how is how its done: (integral sign) xe^(4x^2) it's a u du problem let u=4x^2 so, du=8x dx now you have an x already so all u need is 8 inside and and 1/8 outside the integral [1/8] (integral sign) [8]xe^(... 
Math
Evaluate the integral of (e^2x)*sin^3 x dx I let u = e^2x, du = (1/2)e^2x dx v= (1/3)cos^3 x , dv =sin^3 x dx When I used integration by parts and solved it all out I got: (37/36)intgral of (e^2x)*sin^3 x dx = (1/3)(e^2x)*cos^3 x + (1/18)(e^2x)*sin^3 x However, the answer ... 
Calculus
Find the volume of the solid whose base is the region in the xyplane bounded by the given curves and whose crosssections perpendicular to the xaxis are (a) squares, (b) semicircles, and (c) equilateral triangles. for y=x^2, x=0, and y=0 (a) integral (x^2)^2 from 0 to 2=32/5... 
calc
find the area between the xaxis and the graph of the given function over the given interval: y = sqrt(9x^2) over [3,3] you need to do integration from 3 to 3. First you find the antiderivative when you find the antiderivative you plug in 3 to the antiderivative and ... 
Calculus  Integrals
Here's my first question: (FIrst part courtesy of Count Iblis) Integral of x sqrt(19x7)dx ? Write the integral in terms of functins you do know the inegral of. Rewrite the factor of x as follows: x = 1/19 (19 x) = 1/19 (19 x  7 + 7) = 1/19 (19 x  7) + 7/19 ^ He wrote this ... 
Calc 121
How do you integrate using substitution: the integral from 1 to 3 of: ((3x^2)+(2))/((x^3)+(2x)) There is a trick to this one that grealy simplifies the integral. Let u = x^3 + 2x. Then du = (3x^2 + 2)dx The integral then bemoces just the integral of du/u, which is ln u = ln (x... 
Calculus (Integration proving)
Show that 0 <= [(integral)(integral, r to none)sin(pi)xcos(pi)y dA] <= 1/32 where R = [0,1/4]x[1/4]x[1,2]. Thank you. 
calc
d/dx integral from o to x of function cos(2*pi*x) du is first i do the integral and i find the derivative right. by the fundamental theorem of calculus, if there is an integral from o to x, don't i just plug the x in the function. the integral of the problem is cos*2*pi*) is ... 
Calculus
Evaluate the definite Integral Integral [0 to pi/4] cos(2x)sec^2(pi/4 sin(2x))dx 
Definite integral by parts (correction)
Hello, I just wanted to verify if my work was good. Calculate the following integral by parts: ∫ upper limit is 1/5 and lower limit is 1/10. of 10sin^1 (5x)dx so first I named the variables: u = 10 sin^1 (5x) du = 50 / sqr(125x^2) dv = dx v = x so we get: = 10 sin^1... 
Math/Calculus
How would I solve the following integral with the substitution rule? Integral of: [(x^3)*(1x^4)^5]dx Put 1x^4 = y Then 4x^3 dx = dy Integral is then becomes: Integral of 1/4 y^5 dy ok, thanks a lot! I got it now. 
Calculus II/III
A. Find the integral of the following function. Integral of (x√(x+1)) dx. B. Set up and evaluate the integral of (2√x) for the area of the surface generated by revolving the curve about the xaxis from 4 to 9. For part B of our question , the surface of revolution ... 
Calculus Help and Check
find the derivative of the function integral from cosx to sinx (ln(8+3v)dv) y'(x)= (sin(8+3((sin(x)))+x)+sin(8+3sin(x)x))/2 Is this the right answer????? 
calculus
Evaluate the indefinite integral. integral of 8 sin^4 x cos x dx 
Quick calc question
If f(x) and g(x) are continuous on [a, b], which one of the following statements is false? the integral from a to b of the sum of f of x and g of x, dx equals the integral from a to b of f of x, dx plus the integral from a to b of g of x dx the integral from a to b of the ... 
Please help with Calc!
Evaluate the indefinite integral. integral 2e^(2x)sin(e^2x) Note: Use an uppercase "C" for the constant of integration. 
calculus
Evaluate the indefinite integral. integral of 4e^(4x)sin[e^(4x)]dx 
Calc 2
Integrate the following: a. Integral from 0 to pi (sin^2)(3x)dx b. Integral of (x^2)/((x^2  4)^3/2) 
Calculus  Integrals
I have 3 questions, and I cannot find method that actually solves them. 1) Integral [(4s+4)/([s^2+1]*([S1]^3))] 2) Integral [ 2*sqrt[(1+cosx)/2]] 3) Integral [ 20*(sec(x))^4 Thanks in advance. 
Calculus  Integrals
I have 3 questions, and I cannot find method that actually solves them. 1) Integral [(4s+4)/([s^2+1]*([S1]^3))] 2) Integral [ 2*sqrt[(1+cosx)/2]] 3) Integral [ 20*(sec(x))^4 Thanks in advance. 
Calculus
Find the area of the region bounded by y = x^2, y = 0, x = 1, and x = 2. I tried the integral from 1 to 2 of x^2 and got 3 as the answer. I tried (integral from 0 to 1 of √y + 1) + (integral from 0 to 4 of 2  √y) and got 13/3. What is wrong with the way the integrals ... 
please help me calc. have test tom
d/dx integral from o to x of function cos(2*pi*x) du is first i do the integral and i find the derivative right. by the fundamental theorem of calculus, if there is an integral from o to x, don't i just plug the x in the function. the integral of the problem is cos*2*pi*) is ... 
Math
The problem tells us to approximate the integral using the midpoint rule. n=5, sin(x)2 dx 0 to 1. I understand that the answer is .2(sin(.1)^2 + sin(.3)^...). When I use my calculator to get the decimal answer, I cannot get the same answer the book has. I don't know what I am ... 
Calculus
1.evaluate (integral sign)x cos 3x dx A.1/6 x^2 sin 3x + C B.1/3 x sin 3x 1/2 sin 3x +C C.1/3 x sin 3x +1/9 cos 3x +C << my choice. D. 1/2 x^2 +1/18 sin^2 3x +C 2.evaluate (integral sign)xe(power of 2x)dx A.1/6 x^2 e(to the power of 3x)+C B.1/2 xe(to the power of 2x)1/... 
Calculus check and help
Let f and g be the functions given by f(x)=1+sin(2x) and g(x)=e^(x/2). Let R be the shaded region in the first quadrant enclosed by the graphs of f and g. A. Find the the area of R. B. Find the value of z so that x=z cuts the solid R into two parts with equal area. C. Find the... 
calculus (please with steps and explanations)
consider the function f that is continuous on the interval [5,5] and for which the definite integral 0(bottom of integral sign) to 5(top of integral sign) of f(x)dx=4. Use the properties of the definite integral to evaluate each integral: (a) definite integral from 0(on the ... 
Calc
Find the exact total of the areas bounded by the following functions: f(x) = sinx g(x) = cosx x = 0 x = 2pi I set my calculator to graph on the xaxis as a 2pi scale. The two functions appear to cross three times between x = 0 and 2pi. (including 2pi) Now, from top to bottom, ... 
Math (Integrals) (Volume of Revolution Setup)
I am supposed to find the area of the region given two boundaries and two functions revolving about the x axis. x = 0 x = pi/2 y = cos(x/2) y = sin(x/2) Graphing those two functions made me select to use the washer method. Therefore, I set my definite integral to this: pi∫[0... 
Calc 2
a. Integral (x^2)/(sqrt(1+(x^2))) Would I separate these two into 2 separate integrals? Like: Integral of x^2 and the other integral of 1/sqrt(1+(x^2)) b. Integral (x^7)/(ln(x^4))dx Do I use integration by parts for this? I put u= lnx du = 1/x dv = x^7 v = (x^8)/8 It doesn't ... 
Calculus
Consider the area between the graphs x+2y=4 and x+4=y2. This area can be computed in two different ways using integrals 1) Compute as a sum of two integrals 2) Compute as a single integral 3) Either way, what is the area? __ So for 1) I rewrote the two to be: x = 42y x = y^2... 
Math
The prompt for this question is f(x) =sin(x^2) A)Write the first four terms of the Maclaurin series for f(x) B)Use the Maclaurin series found in Part A to approximate the integral from 0 to 1 of sin(x^2) dx C)How many terms are needed to find the value of the integral given in... 
Calc
Use the table of integral to evaluate: the integral of x^4 sinxdx. Please indicate the number of formula used. 
Calculus
Evaluate the integral: 16csc(x) dx from pi/2 to pi (and determine if it is convergent or divergent). I know how to find the indefinite integral of csc(x) dx, but I do not know how to evaluate the improper integral, at the following particular step. I know I need to take the ... 
Calculus (urgent help)
consider the function f that is continuous on the interval [5,5] and for which the definite integral 0(bottom of integral sign) to 5(top of integral sign) of f(x)dx=4. Use the properties of the definite integral to evaluate each integral: (a) definite integral from 0(on the ... 
Quick calc question
Which of the following definite integrals could be used to calculate the total area bounded by the graph of y = 1 – x2 and the xaxis? the integral from 0 to 1 of the quantity 1 minus x squared, dx plus the integral from 1 to 2 of the quantity 1 minus x square, dx the ... 
Quick calc question
Which of the following definite integrals could be used to calculate the total area bounded by the graph of y = 1 – x2 and the xaxis? the integral from 0 to 1 of the quantity 1 minus x squared, dx plus the integral from 1 to 2 of the quantity 1 minus x square, dx the ... 
Quick calc question
Which of the following definite integrals could be used to calculate the total area bounded by the graph of y = 1 – x2 and the xaxis? the integral from 0 to 1 of the quantity 1 minus x squared, dx plus the integral from 1 to 2 of the quantity 1 minus x square, dx the ... 
maths
use an iterated integral to find area of region bounded by graphs sin(x) and cos(x) between x=pi/4 and x=5*pi/4 but using HORIZONTAL strips.(i.e dxdy is order of integration for the double integral). it has been suggested by a textbook that this is a formidable task. easy ... 
math
Evaluate the following indefinite integral by using the given substitution to reduce the integral to standard form integral 2(2x+6)^5 dx, u=2x+6 
math
Evaluate the following indefinite integral by using the given substitution to reduce the integral to standard form integral cos(9x) dx, u=9x 
K
(a) Find the indeﬁnite integrals of the following functions. (i) f (t) = 6 cos(3t) + 5e^−10t (ii) g(x) = 2112x^3/ x (x > 0) (iii) h(u) = cos^2( 1/8 u) (b) Evaluate: (this big F sign at the start, 5 at the top and 1 at the bottom) 5 1/4x (7 + 6x^2) dx F 1 (c) (... 
Calc
Evaluate the following integral using a geometric formula Integral of 2 to 6: x1dx 
calculus
calculate the indefinite integral 2sec^2x dx (cosx)/(sin^3x) dx calculate the definite integral interval pi/4, pi/12 csc2xcot2x dx 
Math
Evaluate the integral of (sin 2x)/(1+cos^2 x) 1. u=cosx and du=sinx *dx 2. evaluate the integral of 1/(1+u^2)*du 3. result is ln(1+u^2)+C Where did the sin2x dissapear too??? 
integral calculus
Integrate (((cos^2(x)*sin(x)/(1sin(x)))sin(x))dx thanks 
integral calculus
integrate: [ cos ^ 2 (x) * sin (x) / ( 1  sin(x) )]  sin (x) 
calculus
LEt f and g be continous functions with the following properties i. g(x) = Af(x) where A is a constant ii. for the integral of 1 to 2 f(x)dx= the integral of 2 to 3 of g(x)dx iii. for the integral from 2 to 3 f(x)dx = 3A a find the integral from 1 to 3 of f(x)dx in terms of ... 
calculus
LEt f and g be continous functions with the following properties i. g(x) = Af(x) where A is a constant ii. for the integral of 1 to 2 f(x)dx= the integral of 2 to 3 of g(x)dx iii. for the integral from 2 to 3 f(x)dx = 3A a find the integral from 1 to 3 of f(x)dx in terms of ... 
math
LEt f and g be continous functions with the following properties i. g(x) = Af(x) where A is a constant ii. for the integral of 1 to 2 f(x)dx= the integral of 2 to 3 of g(x)dx iii. for the integral from 2 to 3 f(x)dx = 3A a find the integral from 1 to 3 of f(x)dx in terms of ... 
Calculus
Which of the following definite integrals could be used to calculate the total area bounded by the graph of y = 1 – x2 and the xaxis? the integral from 0 to 1 of the quantity 1 minus x squared, dx plus the integral from 1 to 2 of the quantity 1 minus x square, dx the ... 
Calculus  MathMate Please help
ok, i tried to do what you told me but i cant solve it for c because they cancel each others out! the integral for the first one i got is [sin(c)cos(x)cos(c)sin(x)+sin(x)+c] and the integral for the 2nd one i got is [sin(c)cos(x)+cos(c)sin(x)sin(x)+c] I don't know what to ... 
calculus
There are four integrals: 1) definite integral x/(1+x^4)dx b/w 0_infinity 2) definite integral (x^2)/(1+x^4)dx b/w 0_infinity 3) definite integral (x^3)/(1+x^4)dx b/w 0_infinity 4) definite integral (x^4)/(1+x^4)dx b/w 0_infinity Which of these integrals converge. First of all... 
calculus
There are four integrals: 1) definite integral x/(1+x^4)dx b/w 0_infinity 2) definite integral (x^2)/(1+x^4)dx b/w 0_infinity 3) definite integral (x^3)/(1+x^4)dx b/w 0_infinity 4) definite integral (x^4)/(1+x^4)dx b/w 0_infinity Which of these integrals converge. First of all... 
calculus
consider the function f that is continuous on the interval [5,5] and for which the definite integral 0(bottom of integral sign) to 5(top of integral sign) of f(x)dx=4. Use the properties of the definite integral to evaluate each integral: (a) definite integral from 0(on the ... 
calculus
We are not going to do that work for you, but will be glad to help you. The unit sphere is the sphere with radius 1 centered in the origin. They give you the coordinates of a vector. Compute the dot product of the vector and the local surface area normal and integrate it over ... 
Calculus
use te fundamental theorem of calculus to evaluate the integral Integral [0, pi/3] sin^2(x)dx I'm confused on what F(x) should be 
Calculus
∫((cos^3(x)/(1sin^(2)) What is the derivative of that integral? I have been trying to use trig identities but can't find one to simplify this equation. I can't find one for (cos^3(x) or (1sin^(2)) My options sin(x) + C sin(x) + C (1/4)cos^(4)(x) + C None of these 
integrals!!
Compute the value of the integral using geometry. integral from 4 to 1 of (2x +8)dx 
Math integrals
What is the indefinite integral of ∫ [sin (π/x)]/ x^2] dx ? This is what I did: Let u = π/x (to get the derivative and du:) π*1/x π(1/x^2)dx = du π(1/x^2)dx = (1)du so, 1/x^2 = 1/πdu then ∫ [sin (π/x)]/ x^2] dx = ∫ sin(u... 
calculus
what is the integral of {sin(x)tan(x)} i tried turning tan(x) into sin(x)/cos(x) then doing u substitutions but i always have an extra sin(x) left. can you help me pleeeease