Question

Find the indefinite integral of y = (sqrt(9x^(2/3) + 4))/(3(cbrt(x)))

Answer 1

use substitution
let
\[u = 9x^{2/3} +4\]
then
\[du = \frac{6}{x^{1/3}} dx\]
changing the integral to
\[\int\limits_{}^{}2 \sqrt{u} du\]

Answer 2

oops sorry the last part should be
\[\int\limits_{}^{}\frac{\sqrt{u}}{18} du\]