14 Answered Questions for the topic Indefinite Integrals

Find the general indefinite integral (question in despription)

∫(t2-2t÷t4)dt   my teacher got: -1/t -2t +c  but i got: -1/t +1/t2 +c

calculus question, need help please!

Let R be the region in R^2 enclosed by the curve y = x^2 + 3 and the line y = 4x + 3.   a)  Write the area of R as a definite integral.   b)  Calculate the area of R.

If f is a function such that f ' (x) = - f(x)

then ∫ x f(x) dx =

If I have a spinning bowl of water...

A spinning liquid of any sort forms a paraboloid; a three dimensional parabolic shape. Therefore, you can apply the physics principles relating to centripetal motion to any mass, m, on the surface... more

indefinite integrals

Hi Team,   Any help with the questions below would be greatly appreciated.   f(x)=(3x^5+15xsqrtx-48e^(-2x)+(48/1+x^2))dx   Thanks in advance     Michael

Indefinite Integral

Integral of {x+1}/{x(1+xe^x)^2} dx Please help. 

Set up an intefral for the length of the curve.

y=3cos(x), 0≤x≤pi

Indefinite Integral

Can someone help me solve for this indefinite integral?:   (u^2 + u)/(2u^3 + 3u^2 + 1)^(2/3)   Thank you!

Indefinite/Definite Integrals

I need help solving a couple of indefinite/definite integrals. It seems all of my homework problems have done the less complicated ones so I'm not sure how to do these ones:First problem:... more

Indefinite Integral

I need help solving a couple of indefinite integrals. It seems all of my homework problems have done the less complicated ones so I'm not sure how to due these ones:   First problem: (integral... more

Calculus + Indefinite Integral

∫3xe5x^2 dx   I got the answer: 3e5x^2/10+C   My webwork keeps telling me my answer is wrong but I'm not sure why.

Given the substitution, prove the integral is true

Given that u = Pi - x , prove that the integral from 0 to Pi of x*f(Sin(x)) dx is equal to (Pi/2) * the integral from 0 to Pi of f(Sin(x)) dx   I took the derivative of U and got du = 0-1dx,... more

Integration by u substitution help

I need to solve the indefinite integral, however it must be by the u - sub method.     ∫(x2+2)(x-1)7dx   Im guessing this is not the best way, however by tutor tells me it can be done the u sub... more

indefinite integral of (tan^2(x))^1/3sec^2(x)dx

Find the indefinite integral and simplify your result. Please show step-by-step result.

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