Some of you may have read my troubles that I had in this thread https://www.physicsforums.com/showthread.php?t=162079 Now I am having more troubles with more advanced problems. I started with this problem: [4y^2 - 7y - 12] / [(y)(y+2)(y-3)] The problem is that I set it up the same way as I did in that thread and im able to solve for A, B, and C: A= 3 B= 9/5 C= 1/5 so I integrate 3/y + (9/5)/(y+2) + (1/5)/(y-3) and i get 3ln(y) + 9/5ln(y+2) + 1/5ln(y-3) Beautiful right? Well im suppost to find the integral over the area from 1 to 2. When I plug in 1 and 2 into the 1/5 ln (y-3) it yields a negetive number and you cant take the ln of a negetive number!!!! Im sure im making the mistake in the polynomial division somewhere but i dont know. Im thinking there is a way to simplify the original question first before i solve for A B and C.... right? any insite would be wonderful!