How do you integrate $int(x+1)/((4x-5)(x+3)(x+4))$ using partial fractions?

Question

2119 views around the world

You can reuse this answer
Creative Commons License

Answer 1 · 2016-10-07T05:32:53

$3/119 ln |4x - 5| + 2/17 ln |x + 3| - 1/7 ln |x + 4| + C$

That's what I have found! Feel free to correct me if I'm wrong!
My work is attached enter image source here

How do you integrate int(x+1)/((4x-5)(x+3)(x+4))int(x+1)/((4x-5)(x+3)(x+4)) using partial fractions?