How do you integrate [(x^2)(cos(2(x^3)))]? I tried to integrate by parts but I'm going in circles yet again...
10,790 results
Math
find the volume bounded by the parabolic cylinder z=4x^2 and the planes x=0, y=0, y=6 and z=0 I just want some help figuring out the limits of this question : So for z, we have to integrate from z=0 to z=4x^2 (am i right?) W.r.t. y, we should integrate

math, calculus 2
Consider the area between the graphs x+y=16 and x+4= (y^2). This area can be computed in two different ways using integrals. First of all it can be computed as a sum of two integrals integrate from a to b of f(x)dx + integrate from b to c of g(x)dx What is

Calculus
Use Simpson's rule with n = 4 to approximate. Keep at least 2 decimal places accuracy. Integrate: (cos(x))/(x) x=1 to 5

Math
Evaluate the integral of x*ln(1+x) dx by first making a substitution and then using integration by parts. I let u=1+x and du = dx but then ln(u) du can't integrate to anything?

Fourier Sine Series Q
I have the function f(x) = cos(x) on the interval from 0 to pi and I need to comput the Fourier sine series. I have the integral of cos(x) multiplied by sin(nx), I can't figure out a way to integrate them! The "n" gets in the way, what do I do?

calculus
integrate it by integrating factor (cos^3x)dy/dx +ycosx=sinx

AP Calc B/C
Find the arc length of one arch of the sine curve. I started it by doing y=sinx, y'=cosx arc length= integral of sqrt(1+cos^2x)dx from pi/2 to 3pi/2 but I don't know how to integrate that! Thank you!

physics (mechanics)
Practice problem: A rocket sled for testing equipment under large accelerations starts at rest and accelerates according to the expression: a= (2.8 m/s^3)t + (3.9 m/s^2) How far does the rocket move in the time interval t=0 to t=0.81 s? This is just a

Calc 1
integrate from 0 to pi/4 (sec^2x)/((1+7tanx)^2)^1/3 integrate form pi^2/36 to pi^2/4 (cos(x^1/2))/(xsin(x^1/2))^1/2 integrate from 0 to pi/3 (tanx)/(2secx)^1/2

Calculus
dy/dx = 4ye^(5x) a) Separate the differential equation, then integrate both sides. b) Write the general solution as a function y(x). For the second part, I got y(x)=e^((5e^(5x))/(5)) + C but I don't understand how to separate differential equations and/or

Math Integration
Integrate: f (x)/(2x + 1) dx let f represent integrate sign let u = x, du = dx => dx = du = f (u)/(2u + 1) du = (2u + 1)^(1) du = (1/2)u^2 (ln2u + 1) + c = (1/2)x^2 (ln2x + 1) + c ...what did I do wrong? The correct answer is (1/2)x  (1/4)ln2x + 1

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,

Calculus HELP plz
Sketch the region enclosed by the given curves. Decide whether to integrate with respect to x or y. Then find the area of the region. 2y=4x^1/2,y=5,2y+1x=5 Do you really mean "2y+1x=5" ? It is not customary to use the coefficient 1 in front of a variable.

math
Find the area bounded by the parabola y^2=4x and the line y=2x4. Use vertical representative rectangles (integrate with respect to x) and horizontal representative rectangles (integrate with respect to y). the answer is 9 square units ... i just need to

Calculus
Integrate 1/sinx dx using the identity sinx=2(sin(x/2)cos(x/2)). I rewrote the integral to 1/2 ∫ 1/(sin(x/2)cos(x/2))dx, but I don't know how to continue. Thanks for the help. Calculus  Steve, Tuesday, January 12, 2016 at 12:45am 1/2 ∫

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

possible functions
How to find all possible functions of f with a given derivative. 1. f'(x) = 2 2. f'(x) = sinx Integrate each function. Remember that there can be an arbitrarcontant C added to each integral. 1. f(x) = x + C 2. f(x) = cos x + C We haven't learned

Maths
Question : Integrate [x/(1+(sin a*sin x))] from 0 to pi My first thought was to apply integrate f(x) dx= f(ax) dx method Which simplified the integral into; 2I = integrate [pi/(1+(sin a*sin x))] dx , cancelling out x Then I made the integral into the form

Business
Your CEO is concerned that too much productivity is lost by having employees call each other, only to be directed to voice mail. He asks you if something can be done to counter this. What do you suggest? a) Integrate Dropbox into the company network. b)

Statistics
Question : The length of time(in hundreds The length of time(in hundreds of hours) for the failure of a transistor is a random variable Y with distribution function ; F(Y) = { 0 : if y=0 } Find the probability that the transistor operates for at least 200

Maths
Integrate e^(2x)*((2x1)/(4(x)^2))^2 My thoughts on this question : I simplfied the terms after the "*" to get three separate integrals : integrate (e^(2x)) + ((e^(2x))/4(x^2)) + ((e^(2x))/x) The answer for the first integral is obvious and then I was able

Calculus
Which of the following choices will most easily evaluate the integral of [L(x)]/[P(x)] dx, where L(x) is a logarithmic function and P(x) is a polynomial? a) Integrate the polynomial function and differentiate the logarithmic function. b) Integrate the

calculusintegration!
should i use substitution?? if yes how should should i use it? plz i need some directions? k plz someone?...so far i used trig. substitution. i got a=8, so i used x=asin(è)so according to this substitution i got x=8sin(è) and dx=8cos(è) dè...then i

Trig Identities
Why does cos^2(x)= 1/2cos(2x)+1/2? I am trying to integrate, but the answer key says to first rewrite the expression like the above. I don't get how to change cos^2(x) into that. Explain?

math
integrate sqrt(2((sin(x))^2 + 50((cos(x))^2  10sin(x)cos(x))

Calculus Indefinite Intergral
I need help with integrating these two problems. Im stuck. 1. integrate (sin^1)dx/((1x^2)^3/2) sin^1 aka arcsin 2. integrate dx/((1x^2)^3/2) by using 1/z Any and all help will be appreciated!

calculus
Integrate sqrt(x^2 + 1) dx over [0,2*pi] I can substitute u=arctan x to get: Integrate (sec u)^3 du over [0,arctan(2*pi)] From there, I'm stuck. (thanks Count Iblis for your last help)

Calc
How do you solve ∫sin(3x+4)dx? I got the cos(3x+4) part, but do you have to integrate the 3x+4 too? Does chain rule apply?

Calculus
Use the trapezoidal rule with n = 5 to approximate. Keep at least 2 decimal places accuracy. Integrate: (cos(x))/(x) from x=1 to 5

calculus very hard help
integrate:cos^10xdx even with the previous hint a tutor here gave me i still don,t know it

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

math
Sketch the region enclosed by the given curves. Decide whether to integrate with respect to x or y. Then find the area of the region. 2y=5x , y=3 and 2y+1x=6 It is easier to integrate with respect to the variable Area = Help!!!!

Quick Calc Question
I can't remember how to integrate ye^ey with respect to y. Is it (y^2)e^xy? or do i need to do integration by parts? i just cant remember.

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

Calculus
How do you integrate [(x^2)(cos(2(x^3)))]? I tried to integrate by parts but I'm going in circles yet again...

Integral calculus
Please can anyone help with the following problems  thanks. 1) Integrate X^4 e^x dx 2) Integrate Cos^5(x) dx 3) Integrate Cos^n(x) dx 4) Integrate e^(ax)Sinbx dx 5) Integrate 5xCos3x dx The standard way to solve most of these integrals is using partial

MathematicsIntegration
Question: Prove that [integrate {x*sin2x*sin[π/2*cos x]} dx] /(2xπ) } from (0π) = [ integrate {sin x*cos x*sin[π/2*cos x} dx ] from (0π). My thoughts on the question: We know that integrate f(x) dx from (0a) = integrate f(ax) dx from (0a) From

calculus
1) Integrate Cos^n(x) dx 2) Integrate e^(ax)Sinbx dx 3) Integrate (5xCos3x) dx I Will be happy to critique your thinking on these. 1) Derive a recursive relation. 2) Simplest by replacing sin(bx) by Exp[i b x] and taking imaginary part at the end. 3) First

Integral calculus
Please do help solve the followings 1) Integrate e^4 dx 2) Integrate dx/sqrt(90^24x^2) 3) Integrate (e^x+x)^2(e^x+1) dx 4) Integrate xe^x2 dx e^4 is a constant. 3) let u= e^x + x du= (e^x + 1)dx 4) let u= x du=dx v= e^x dv= e^x dx

Calculus
6.] Replace the integral in exercise 5 (int. (1/ 1 – t) dt a = 0, b = 1/2with ?1/(1+t) dt with a = 0, b = 1, and repeat the four steps. a. integrate using a graphing utility b. integrate exactly c. integrate by replacing the integrand with a Taylor

calculus 2
Justify, with a written explanation or a mathematical reasoning and with a sketch of at least two different cases, the following properties of integrals: a) If f(x) is less than or equal to g(x) for a

Math
Find the greatest value of a,so that integrate [x*root{(a^2x^2)/(a^2+x^2)} ] from 0a

calculus help please
dy/dx = 2y^2 Integrating...y=2/3 y^3 + C put 1,1 into the equation, and solve for C. Then find the y for x=2 if y= a^uhttp://math2.org/math/integrals/tableof.htm see exponential functions. dy/dx=2y^2 and if y=1 when x=1, then when x=2, y=? how do i get x

maths
integrate by parts integrate (4+x^2)^1/2

Integration of exponents with absolute values
I cannot for the life of me figure this out. Please help me. How do I integrate the function f(x) = 0.1 * e ^ (0.2 * x) from neg. Infinity to pos. Infinity? I seem to only be able to get 0, but the answer is 1. I think it is the x that is throwing me

integrate
integrate du/3u and integrate x/x^2 dx it might be simple...i just need a head start...tnx

Calculus AB
Please help me integrate this equation using partial fractions: Integrate [(x^2+5)/(x^3x^2+x+3)]dx. Thank you very much.

[Calculus] Usubstitution for Integrals
Integrate from 1 to 5 of (3x5)^5 dx = Integrate from a to b of f(u) du where (I have solved this part) u = 3x5 du = 3 a = 0 b = 12 The original value of the integral is 165888 via calculator here's my last question, and it has to be in terms of u: f(u) =

calculus
1) Integrate (e^x+x)^2(e^x+1) dx 2) Integrate xe^x2 dx Let u=(e^x+x) du=(e^x +1) dx I will be happy to critique your work or thinking. You are posting work for me to do, and I am not inclined to do that, it will not help you for me to do it. I think I gave

MATHS...PLEASE HELP
what do you get when you: integrate 10sin^4xcosx dx when you integrate 9x^2e^6x^3 dx

maths
integrate by parts çx (lnx)^2 dx

college math
how do you integrate (cos^2 x)^4

Integration need help
Integrate (6x^2cos(2x))dx??

math
integrate Cos^7(2x)

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:

Math
Integrate (sin^2(t)+1)/(cos^4(t))dt

PLZ integrate
integrate cos^3x dx tnk U

maths
integrate sinx/ã4+cos^2x dx

Calculus
Integrate [sinx/(1+cos^2(x))] from pi/2 to pi.

Calculus
Sketch the regions enclosed by the given curves. Decide whether to integrate with respect to x or y. Draw a typical approximating rectangle and label its height and width. integrate with either respect to x or y, then find area S of the region given that

calcus
Sketch the regions enclosed by the given curves. Decide whether to integrate with respect to x or y. Draw a typical approximating rectangle and label its height and width. integrate with either respect to x or y, then find area S of the region given that

Math
integrate (sin^8 x  cos^8 x)/(1  2sin^2 x * cos^2 x) w.r.t. x

Calculus
integrate t*(t^2  1)^(1/3) dt over (0,3) I substitute u = t^2  1 du = 2t dt which leads to integrate (1/2) u^(1/3) du over(1,8) = (3/8) * u^(4/3) over (1/8) = 3/8 * [8^(4/3)  (1)^(4/3)] I would guess that (1)^(4/3) is +1, since the cube root of 1

Calculus
Integrate Cos^7(2x) Explanation would be helpful

Calculas
Integrate: Cos^7(2x) Explanation would be helpful

Calculus
How do we integrate [(cosx)^2(nx)(sin(nx))]/[a(cos(nx))] dx?

integrate
how do i integrate 2u du /u2+2u^2 so i used subsitution rule? or can i used integration by parts and how? thanks in adnvace

Calculus
I have to use integration by parts to integrate tan^1 (1/x)dx. I'm not sure what to use as u or dv. We were taught to use uvintegral of (vdu) to do this.

MathematicsIntegration
How do we integrate {[1/(√(1x^2) )]*[ln(2x+3)(√(1x^2))] } ? Is there any suitable substitution or do we have to do this by parts? I don't have any idea to proceed on.

Calc
Problems, once again. 1. Compute the average value of: f(x} = x/(x+3) over the interval [a,a] 2. Find the area of the region bounded by the graph of: y = 2√(x^2 + 1) X axis Y axis Line x = 1 On the first, integrate, then divide the integral by 2a. On

Calculus
Can someone help me to integrate by substitution the indefinite integral: (sinx)/ (1+cos(^2)x)?

math
the question asks to integrate cos(t)/ (5sin(t)+8)^2 the answer i got was xcos(t)/(5sin(t)+8)^2 this is not right i believe there is something wrong with the x in front of the cos.... please heplp

Math
Please help me the way through this sum Integrate Cos squared(3x) btwn x=pie/2 andx=0

Adv Calculus
Integrate the following indefinite integral: (sin7x)^12 * (cos7x)^3 Hint: sin^2 + cos^2 = 1

calculus help
integrate cos^10xdx.. .plz show working i really wanna learn these thanks anyway

math
How do I integrate this ∫[0,2pi](√cos^2 (t)+ 4 cos^2 (2t)+ 9 cos^2 (3t) )

Calculus AB
I had to integrate [(x^2+1)/(x^2x)]dx with partial fractions. My answer was 2ln abs(x1) ln abs(x)+C. But the answer on the answer sheet has an extra +x that I did not account for. Is that a typo or did I integrate incorrectly?

Python programming
A standard problem in mathematics is to measure the area under a curve (or to integrate the function defining the curve). A simple way to do this is to approximate the area with a series of rectangles (whose areas are easy to compute). For example, we

College Calc 1
Find the area bounded by the parabola y^2=4x and the line y=2x4. Use vertical representative rectangles (integrate with respect to x) and horizontal representative rectangles (integrate with respect to y). the answer is 9 square units ... i just need to

Integrating Factors
I've been working on this hw problem for a while now, but I'm stuck in the integration process. I'm pretty sure I made an error, cause I can't seem to be able to integrate the right side of the equation. Q: (1/(x^(2)+1))y' + xy = 3 using the equation

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

Calculus
Integrate 1/sinx dx using the identity sinx=2(sin(x/2)cos(x/2)). I rewrote the integral to 1/2 ∫ 1/(sin(x/2)cos(x/2))dx, but I don't know how to continue. Thanks for the help.

Math
dz =(−sinx + 2xy^2)dx +(2x^2 y)dy Integrate the differential to find the function z. Would I say that z was equal to two separate differentials and integrate the first part of the function with respect to x and the second part with respect to y? z = cosx

Mathematics Integration : to Steve
But how do we integrate ln1+tanx da X=theta =int.[lncos xdx] +int.[sin x dx ]  int.[lncos x dx] ?

Calculus
Integrate (1/2)sin(x^(1/2))dx. I've tried using usubstitution, with u=sin(x^(1/2)). du would then = ((1/2)x^(1/2))(cos(x^(1/2))). As you can see, this only make the problem more complicated. I don't get what to do. Thank you in advance!

math, calculus 2
Consider the function f(x)=((x^2)/2)9. In this problem you will calculate integrate from 0 to 3 of ((x^2)/2)9)dx by using the definition integrate from a to b of (f(x))dx= lim as n approaches infinity of sum_(i=1)^n of (f(x_i))(delta x) The summation

MathematicsIntegration
Question: For any positive integer n,show that integrate.[(sin x)^2n dx ] from o  π/2 = [(2n)!*π]/[(2)^(2n+1)*(n!)^2 ] What I thought: Let I =int.[(sinx)^2n dx] And again I= int.[ (sin(π/2x))^2n dx] = int.[ (cos)^2n dx] 2I= int.[(sin x)^2n + (cos

Math Integration
i keep getting stuck and i think im missing something integrate by parts e^(bx) cos x dx thanks

maths
integrate by parts integrate (4+x^2)^1/2

Calculus
Which of the following choices will most easily evaluate integral of [L(x)]/P(x) dx, where L(x) is a logarithmic function and P(x) is a polynomial? a) Integrate the polynomial function and differentiate the logarithmic function b) Integrate the logarithmic

calculusintegration
integrate 2/xln^4(x)...plz help me..give me an idea on how to start..plz The derivative of the ln(x) function is 1/x and this is multiplying the ln^4(x). You can thus write the integral as: 2 * 1/5 ln^5(x) + constant. is that the answer? wut about the x

calc
integrate (3+x)x^(1/2)dx=? please help I have no idea how to integrate this problem

Math
Integrate: ∫(cos^3 x)^2 dx

Calc
Calculate the area bounded by the xaxis and the function f(x)= (xa)(xb), where a

Calculus
How do I integrate (x^2)(e^(x^3)) dx? I think it is integration by parts but after trying that, I got confused?

Math
Solve it showing detail steps..please. Integrate : ∫(cos^3 x)^2 dx

calculus
How do I integrate x(arctanx) dx? Is it some sort of integration by parts? Can you please show steps? Thanks in advance!

Math
integrate dy/dx=x(y^(1/2))(cos^2(y^(1/2))^2) I know I need to separate, and Iv'e moved dx to the right side with dy on the left. Don't know how to go on.

Calculus
Calc length of arc of y=ln(x) from x=1 to x=2  So far: Definite Integral over x=(1,2) of sqrt(1 + 1/x) dx 1/x = tan^2 t x = 1/tan^2 t sqrt(1+1/x) = sqrt(1+tan^2 t) = sec t dx = 2 * tan^3 t * sec^2 t dt Integrate over x=(1,2): sec^3 t / tan^3 t dt

math
the question asks to integrate cos(t)/(5sin(t)+8)^2 the answer i got was xcos(t)/(5sin(t)+8)^2 i think the x is wrong but i am not sure what i am doing wrong...help please.