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!