So I have an assignment, and we are supposed to integrate using partial fraction decompositions. The integral is:
(x^2 + 53)/(x^3 + x^2)
What I have so far is:
A/(x) + (Bx+C)/(x^2) + D/(x +1)
A(x^2 + x) + (Bx + C)(x+1) + D(x^2) = (x^2 + 53)
I've determined that C= 53, and D= 54, but I'm stuck finding A & B. Any help would be much appreciated. Once I figure out what these partial fractions are, I'll be home free, since integrating is the easy part.