posted by .

what is the integral of x/(1+x^2)^2 dx This is a question of a past AP exam of calculus BC

i know i have to use the substitution method where u=(1+x^2), du=2xdx. I have to find the integral but i'm just focused on the coefficient because i get a different answer for that part

then you set the integral to .5(int)1/u^2 du,

but my answer choice on the AP exam test says that instead of 1/2 as the coefficient, it's 1/4 and i don't see where the 4 comes from.

## Similar Questions

1. ### Calculus URGENT test tonight

Integral of: __1__ (sqrt(x)+1)^2 dx The answer is: 2ln abs(1+sqrt(x)) + 2(1+sqrt(X))^-1 +c I have no clue why that is! Please help. I used substitution and made u= sqrt(x)+1 but i don't know what happened along the way! Your first …
2. ### Calculus

so we are doing integrals and I have this question on my assignment and I can't seem to get it, because we have the trig substituion rules, but the number isn't even so its not a perfect square and I just cant get it, so any help would …
3. ### Calculus

Find the integral, using the method of substitution where necessary. 63. integrate x^2*Sqrt[x+1] dx What I have done: I have set the (x+1) = u but I feel this is the wrong way to do this problem.
4. ### calculus

A question on my math homework that I can't seem to solve... Rotate the region bounded by y=x^2-3x and the x-axis about the line x=4. Set up the integral to find the volume of the solid. I'm pretty sure that the integral is in terms …
5. ### 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 …
6. ### Calculus/Substitution

The integral from 1 to 2 of x*the square root of (x-1) dx. Using the substitution method, I said that u = x-1, du = 1 dx, and dx = du. I'm not sure how to plug u back into the equation since I still have that first x. Suggestions are …
7. ### Calculus

f(t)= -2te^-t^2, [0,5] Find average value. Attempt: I know that the average value is the integration of f(t) from a to b divided by b-a. I used u substitution to get u= -t^2 and du= -2xdx. I changed the limits of integration to [0,25] …
8. ### Calculus

Hi there i am having some problems trying to do my calculus homework and i really need help on how to show the step to proof the volume of a sphere which is V= 4/3pirsquare. But I have to use triple integral to proof the volume of …
9. ### integration (calculus)

Find the indefinite integral. ∫((e^-x-1)/(e^-x + x)^2) dx I am trying to use the substitution method. u=e^-x + x du= -e^-x+1 dx Right so far?
10. ### calculus

Evaluate the integral S x/(sqrt(3x-1))dx Use U-Substitution method.

More Similar Questions