Integration of 1/(x^2(2+x^3)^(1/3)) dx

Question

integral cccalculus with respect to dx

Answer 1

u=2+x³

(1/3)du=x²

 

(1/3)∫(1/u^1/3)du

 

*rewritten as*

(1/3)∫u^-1/3du

 

(1/3)(3/2)u^2/3+C

 

(1/2)(2+x^3)^2/3+C