Question: How can I solve this following integral by using antiderivative and not by using the substitution method: 1 2 ( x 2 + x )

How can I solve this following integral by using antiderivative and not by using the substitution method:

12(x2+x)dx

I determined the antiderivative as31x3+32x3/2 If it is correct, please use this to solve it so I do not get confused.

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