Question

X/(X²-1)² Integrate them​

Answer 1

Answer:

x−arctanx+C

Explanation:

x2x2+1=x2+1−1x2+1=1−1x2+1

∫ 1−1x2+1 dx

=x−∫ 1x2+1 dx

in terms of the red bit, use sub x=tant,dx=sec2t dt

this makes it

∫ 1tan2t+1 sec2t dt

=∫ 1sec2t sec2t dt

=∫ dt

=arctanx−C

So the full integral is

x−arctanx