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 1/5çtan^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

calculus

integrate (2/3x^5)

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