Thread: Improper Integration

The integral from 1 to infinity [sorry i don't know how to put it in LaTex ], of:


From what My teacher showed me, you can use Ln, or partial fractions to solve this, but I couldn't understand either method, how do you do it?

Originally Posted by >_<SHY_GUY>_<

The integral from 1 to infinity [sorry i don't know how to put it in LaTex ], of:


From what My teacher showed me, you can use Ln, or partial fractions to solve this, but I couldn't understand either method, how do you do it?

Resolve into partial fractions:



and a quick calculation shows that:



Which has resolved the integrand into the sum of two terms both of which are easily integrable (in terms of )

CB

Originally Posted by CaptainBlack

Resolve into partial fractions:



and a quick calculation shows that:



Which has resolved the integrand into the sum of two terms both of which are easily integrable (in terms of )

CB

from there you solve for A and B and then take the integrals of those fractions...Im on the right track right?

Yes. In the second step CB solved for A, B and found A=B=1. Now you can integrate both fractions separately, which is easy.

Originally Posted by >_<SHY_GUY>_<

from there you solve for A and B and then take the integrals of those fractions...Im on the right track right?

yes,..go on