help with integrals?

Question

Evaluate the indefinite integral.

⌠
⌡ x2 ex3 dx

Enter the upper case letter C for the constant of integration. Use exp(u) instead of eu.

Answer 1

If you mean the integral of (x^2)e^(x^3), then use their suggestion in letting u = x^3. Then du = 3x^2 dx, which means (1/3)du = x^2 dx, and you can rewrite everything as
∫ (1/3)e^u du = (1/3)∫ e^u du =

This makes it easy to integrate. So evaluate the integral, include the "+ C", and substitute u = x^3 back.

Answer 2

if you put x^3=u
3x^2dx=du and the integral becomes 1/3Int exp(u)du
which is 1/3 exp(u ) = 1/3 exp(x^3) +C