Question

Evaluate the following integral:

Answer 1

well on initial observation, the numerator looks like the derivative of the denominator.. does that help..?

Answer 2

I want to set u= x^2 + 1 I think

Answer 3

then I think dx= du/2x

Answer 4

ok... so a change in question so its

Answer 5

that's correct so looking at the derivative

\[\frac{1}{2} du = x~ dx\]

so you are looking at

\[\frac{1}{2} \int\limits \frac{1}{u^2} ~de = \frac{1}{2} \int\limits u^{-2} du\]

Answer 6

now you should be able to find the derivative

Answer 7

I received 1/2 * (x^2 + 1)^(-1) / -1