# Integration by Parts.

## Homework Statement

1/(u²(a+bu)²) a and b are constants u is the variable

## The Attempt at a Solution

i know im suppose to use substition by parts but i dont know what to use.

Mark44
Mentor

## Homework Statement

1/(u²(a+bu)²) a and b are constants u is the variable

## The Attempt at a Solution

i know im suppose to use substition by parts but i dont know what to use.
I'm confused. The title says "Integration by parts". Later on, you said you supposed to use "substitution by parts" which is not a technique I've ever heard of. There's a technique called "substitution".

There's also a technique called "partial fractions" or "partial fraction decomposition" in which you can decompose a complicated rational expression into a sum of simpler rational expressions.

So how are you supposed to do this problem?

oops i mean integration by parts i dont know why i said substitution.sorry

Defennder
Homework Helper
The best approach would be to decompose the fraction first into it's partial fractions as suggested by Mark44. Then integrate the partial fractions separately.