Question

From 2 to 3, integrate ((x^3)+5)dx/x.

Answer 1

Integrate x^2 dx and 5 dx/x separately and add the two. That will give you the "indefinite integral". Then subtract the value at x = 2 from the value at x=3. That is the "definite integral" that they are asking for

These are two integrals you should know, and it is vital that you be able to do this type of problem yourself, if you are to learn the subject.