Question

integrate xdx/(a^2+x^2)^n​

Answer 1

£x/(a²+x²)ⁿdx

let a²+x²=t

2xdx=dt

xdx=dt/2

1/2£1/(t)ⁿdt

1/2£t^-ndt

1/2 {(t^1-n)}/1-n