Solve only if you know the solution and show work.

For the remaining integral, let . Then




and



Now the integral is



The first integral is trivial, so we'll focus on the latter one. You have



Decompose the integrand into partial fractions:



so you have



which are all standard integrals. You end up with






To try to get the terms to match up with the available answers, let's add and subtract to get




which suggests A may be the answer. To make sure this is the case, show that



You have





So in the corresponding term of the antiderivative, you get




The term gets absorbed into the general constant, and so the antiderivative is indeed given by A,