Recent content by drmatth

Ah you are correct, thank you for pointing that out. I came across that site and others like it but the notation was a bit confusing for me. As I was typing this response I came across the explanation he was giving me today...

Homework Statement The problem is attached as a picture. Homework Equations I believe the theories relevant to the equation are the Leibniz formula and the first or second fundamental theorem of calculus, I have two books and one lists the first theorem as the second and vice-versa...

Yep I see it. I noticed the differential so I thought it was a substitution but I just could not get my head around the manipulation. Thank you for breaking it down for me.

Here is a screenshot of the part I am asking about.

Homework Statement Integrate (x^3 - 8x^2 - 1)/((x+3)(x^2-4x+5)) Homework Equations This is an integration by partial fractions. The Attempt at a Solution http://www.wolframalpha.com/input/?i=integral+%28%28x^3-8x^2-1%29%2F%28%28x%2B3%29%28x^2-4x%2B5%29%29%29dx I understand everything...