∫2x^3/(4 + x^8)dx = ?

Question

\(\int\frac{2x^3}{(4+x^8)}dx\) = ?

∫2x³/(4 + x⁸)dx

A.1/2tan^-1 x⁴/2 + c

B.1/4tan^-1 x⁴/2 + c

C.1/2tan^-1 x⁴ + c

D. none of these

Answer 1

= \(\int\frac{2x^3}{(x^4)^2+2^2}dx\)

Let x⁴ = t 

4x³ dx = dt