Question

\[\int\limits_{0}^{1}(3x^2+2)^3 xdx\]

Answer 1

let u=3x^2+2

Answer 2

How do I evaluate that then?

Answer 3

du/dx=6x
so du=6xdx or du/6=xdx

Answer 4

if x=1, then u=3(1)^2+2=3+2=5 upper limit
if x=0, then u=3(0)^2+2=0+2=2 lower limit

Answer 5

\[\int\limits_{2}^{5}(1/6)*u^{3}du\]