Evaluate ∫dx/(x⁵+3)

∫dx/(x⁵+3)
Let ∫x⁴dx/(x⁵+3)
Assume, x⁵=t
Differentiate t with respect to x, 5x⁴dx=dt
=1/5∫dt/(t+3)
=1/5 ∫(1/t - 1/(t+3))dt
=1/5[log t - log(t+3)] + c
=1/5log(t/(t+3)) + c
=1/5log(x⁵/(x⁵+3)) + c