Question

How do you use substitution to integrate `3x^2 cos(x^3+5)`?

Answer 1

`int3x^2cos(x^3+5)dx=sin(x^3+5) +C`

`int3x^2cos(x^3+5)dx=| (t=x^3+5), (dt=3x^2dx)|= intcostdt=sint+C=sin(x^3+5)+C`