# 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

23,299 results

### 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

### Mathematics-Integration

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

### 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 integrate sin(yx) ...

### Integral calculus

Please do help solve the followings 1) Integrate e^4 dx 2) Integrate dx/sqrt(90^2-4x^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

### integrate

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

### 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 integration. So, look ...

### 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 series and integrate term ...

### 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...

### 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<=x<=b then integrate from a to b of f(x)dx is less than or equal to ...

### PLZ integrate

integrate cos^3x dx tnk U

### 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 in the equation. do ...

### 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)

### calculus

integrate xsin(2x)dx=

### math

integrate x(xsin(x)dx from 0 to pi

### 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 = f u (2u + 1)^(-1) du = (1/2)u^2 (ln|2u + 1|) + c = (1/2)x^2 (ln|2x + 1|) + c ...what did I do wrong? The correct answer is (1/2)x - (1/4)ln|2x + 1| + c

### Calculus AB

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

### calc

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

### plz integrate

how do u integrate 1+u/3u+2u^2 please help me get started ...tnk u

### MATHS...PLEASE HELP

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

### Math

Find the greatest value of a,so that integrate [x*root{(a^2-x^2)/(a^2+x^2)} ] from 0-a<=(π-2) Let I =integrate{ [x*root{(a^2 - x^2)/(a^2+x^2)}]dx } from 0-a I used the substitution u=root[x^2+a^] to simplify the further. After substituting and changing limits I got, I=...

### calculus

How do I integrate tanx (1+sec^4 x)^3/2 dx My daughter is doing surface area problems, and all the examples assume she knows how to finish it off once we get to the integration....

### 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 Integrate over x=(1,2): ...

### Calc

Calculate the area bounded by the x-axis and the function f(x)= -(x-a)(x-b), where a<b and a and b are constants. Please do it out in steps so I can understand it, and try to simplify the final answer and leave it in factored form. Frankly, I would multiply out the ...

### calculus

Did I do this problem right? Find the first and second derative-simplify your answer. y=xtanx y'= (x)(sec^2 x)+(tanx)(1) y'= xsec^2 x + tanx y"= (x)(2secx)(secxtanx)+sec^2 x + sec^2 x y"=2xsec^2 x tanx + 2 sec^2 x

### maths

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

### maths

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

### Mathematics -Integration : to Steve

But how do we integrate ln|1+tanx| da X=theta =int.[ln|cos x|dx] +int.[sin x| dx ] - int.[ln|cos x| dx] ?

### Calculus Indefinite Intergral

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

### 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 you strong hints on ...

### integrate

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

### 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 the value of a, b, c...

### Calc

Hello im trying to integrate tan^3 dx i have solved out the whole thing but it doesnt match up with the solution.. this is what i did: first i broke it up into: integral tan^2x (tanx) dx integral (sec^2x-1)(tanx) dx then i did a u substitution u = secx du = secxtanx dx (dx = ...

### Calc

Hello im trying to integrate tan^3 dx i have solved out the whole thing but it doesnt match up with the solution.. this is what i did: first i broke it up into: integral tan^2x (tanx) dx integral (sec^2x-1)(tanx) dx then i did a u substitution u = secx du = secxtanx dx (dx = ...

### [Calculus] U-substitution for Integrals

Integrate from 1 to 5 of (3x-5)^5 dx = Integrate from a to b of f(u) du where (I have solved this part) u = 3x-5 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) = ? (Again, in terms ...

### Calculus AB

I had to integrate [(x^2+1)/(x^2-x)]dx with partial fractions. My answer was 2ln abs(x-1) -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?

### 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 y=sqrt(x), y=x/2, and ...

### 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 y=sqrt(x), y=x/2, and ...

### 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!!!!

### math

Find the area bounded by the parabola y^2=4x and the line y=2x-4. 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 know how to get to that.

### College Calc 1

Find the area bounded by the parabola y^2=4x and the line y=2x-4. 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 know how to get to that.

### math

integrate sec^2(3x)(e^(tan3x))

### math

integrate Cos^7(2x)

### math

i need to integrate: (secx)^4 dx let u = sec x dv =sec^3 x dx Start with this. Then, you will have to deal with the integral of sec. You should be able to solve it after a few steps. Looks a little messy.

### 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 the second, ...

### college math

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

### Math

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

### Calculus

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

### maths

integrate -sinx/ã4+cos^2x dx

### Integration need help

Integrate (6x^2-cos(2x))dx??

### 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 integrate both sides...

### math

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

### calculus

i have to integrate using u substitution, but i am not sure if i did it correct. çtan^3(5x)sec^2(5x)dx u=5x du=5dx 1/5du=dx 1/5çtan^3(u)sec^2(u)du 1/5tanusec^2u+c 1/5tan(5x)sec^2(5x)+c

### Math

Integrate: ∫(cos^3 x)^2 dx

### Calculus

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

### 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 + x^2 y^2 + x^2 ...

### 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 is -1 and taking that ...

### Math

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

### 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. It is unnecessary. ...

### Calculas

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

### Calculus

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

### calculus

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

### math

How do I derive the secant reduction formula? Am I asking this question wrong? Integrate: (sec x)^n dx

### Calculus

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

### 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 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.

### 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 d/dx(ry)=f(x)r(x) I found ...

### Math

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

### calculus-integration

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 infront of ln^(x)......

### maths

Integrate ( x^2cosx)/(1+sinx)^2 dx with limits form 0 ti pi/4

### Math Integration

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

### Adv Calculus

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

### Math

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

### calculus help

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

### 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 inside the brackets is...

### 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

### 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

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

### 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 off. Please Hlep! ...

### 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 and integrate it over ...

### 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.

### resolve the partail fraction and then integrate

resolve the partail fraction and then integrate.3x^2-34x+97/(x-5)^3

### Maths

keep getting stuck for integrate e^(bx) cos x i get = cos x e^bx/b - int -sin x e^bx/b = cos x e^bx/b - -sin x e^bx/b^2 - int - cos x e^bx/b^2 this is where i get stuck please help

### physics

Calculate the rotational inertia of a wheel that has a kinetic energy of 24,400 J when rotating at 677 rev/min. I know that I = mr^2 and that T = Ia; also I calculated 677rpm to be 70.9 radians/sec. But I don't understand how to integrate KE into this.

### Calculus

Integrate (1/2)sin(x^(1/2))dx. I've tried using u-substitution, 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!

### 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 practice problem to help ...

### math

1. (sec^2x-6tanx+7/sec^2x-5)=(tanx-4/tanx+2) 2. (sin^3A+cos^3A/sinA+cosA)=1-sinAcosA 3. csc^6x-cot^6x+1+3csc^2xcot^2x please help

### calculus-integration!

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 used used the plug them ...

### Calculus

Integrate: x/(9+x^4)dx

### Calculus

integrate: (x^2 + 1)^k dx

### math

integrate: (x^2 + 1)^k dx

### calculus

Integrate: dx/(2x^2 + 4x + 7)

### calculus

how do you integrate x^2/(9+x^6)

### calculus

how do you integrate x^2/(9+x^6)

### math

how do you integrate dx/(x^2*(x^2+4)^1/2)?

### math

how do you integrate (3x+1)/(x-1)x^2 dx?

### calculus

how do you integrate dx/(x^2*(x^2+4)^1/2)

### Calc

how do I integrate x^4-3y^3+2y^2? thanks