Question

can someone explain to be about integrating partial fractions..

Answer 1

just in general, or do you have a specific problem?

Answer 2

This is a pretty good write up http://tutorial.math.lamar.edu/Classes/CalcII/PartialFractions.aspx

Answer 3

^good site.

Integrating partial fractions is easy. The hardest part is usually finding the partial fraction decomposition.

Answer 4

yes im struggling with one... one second

Answer 5

number 39. like i get confuse like which is a and when is it bx+c

Answer 6

I think you have to make a u-substitution first to turn the denominator into a polynomial. Try rewriting the integral in terms of u with u = x - 1

Answer 7

\[substitute~\sqrt{x-1}=t,x-1=t^2,x=t^2+1,dx=2t ~dt\]

Answer 8

\[\int\limits \frac{ dx }{ x \sqrt{x-1} }=\int\limits \frac{ 2t~dt }{ \left( t^2+1 \right)t }=2 \int\limits \frac{ dt }{ t^2+1^2 }=?\]
replace the value of t

Answer 9

sorry, i crashed

Answer 10

got it :) thanks<3