!3 on top of 0 (3x^2 +x -2)dx

Criteria:
1. All steps for finding the value of the antiderivative are clearly and accurately shown.
2. All steps using substitution to find the correct value of the integral are clearly and accurately shown.
3. The correct solutions for EACH is shown.

It is not too clear what you want help with.

Are you finding the integral of
3x^2 + x - 3 by dx from 0 to 13 ?

the integral of 3x^2 + x - 3 is
x^3 + x^2/2 - 3x

Its value is
13^3 + 169/2 - 39 - 0
= ...