How do you integrate #int (x+4) /((x+1)(x - 2)²)# using partial fractions?
This could become quite lengthy, just warning you.
where A,B and C are arbitrary constants.
Multiplying appropriately to get common denominators we get:
There are a number of methods which can be used to determine the values of the constants, we shall set the value of x such that certain brackets evaluate to zero:
Now we know A and C, try at x = 0:
So the integral has become:
For the first part, let
for the second and third, let