I have the following integral to evaluate and determine the values for A and B

x + 1 / (x + 2) (x - 3) so I would have

A/(x + 2) and B / (x-3) therefore

x + 1 = A(x-3) + B (x+2)

Equating the coefficients:

A + B = 1

-3A + 2B = 1

THe answer the sample test gives for A is 1/5 !!! I could understand this if it were 3A not -3A Can someone please tell me am I going crazy or did the teacher make a mistake in the orginal problem and it should read

x + 1/ (x +2)(x+3)????????? Please help THanks much