Compute the following integral.

First, we use partial fraction decomposition. We write

This gives us the equation

First, we substitute the values , , and which gives us

Substituting these values of , and into our equation we have

Now, we substitute the values , and to obtain the equations

Solving this system we obtain the values

Therefore, we have the following,

Hey! Me again, I just wanted to point out that you have a typo in the first equation when substituting , the first coefficient should be and not As always, thank you very much for the solutions!