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!