Substitution Question

Question

Consider the indefinite integral ∫x3 ⋅4√x4+8 dx:

This can be transformed into a basic integral by letting

u=   and

du= dx  

Performing the substitution yields the integral

∫ du  

Answer 1

u = x⁴

du =x³ dx

∫ u^1/2 + 8 du. Can you finish it from there?