Question

How would you integrate x over (1+x^2)^4 dx? my teacher gave us notes but they aren't helping and I am stuck

Answer 1

note that (1+x^2)^4 = [(1+x^2)^2]^2
evaluate (1+x^2)^2, will yield 1+(2*x^2)+(x^4)
then calculate (1+2*x^2+x^4)^2 which equal to (1+x^2)^2

after that u can integrate it as usual.