How do you integrate #int (1-2x^2)/((x+9)(x+7)(x+1)) # using partial fractions?
The denominator factors are linear and distinct.
This fact makes the problem a little easier.
Multiply both sides by the denominator on the left side. After cancellation we have:
Short Cut #1:
The above is true for all values of x. In particular it is true for x = -1, which makes one of the factors zero. Let x = -1.
Try the same short cut with x = -7 and then with x = -9, and you will have the values of A, B, and C.
Put those values into