plz solve these integrals

snehil

$\int e^{x}\left ( \frac{x^{4}+2}{(1+x^{2})^{5/2}} \right )dx$

$\int log(\sqrt{1+x}+\sqrt{1-x})dx$

snehil

kabi

http://www.goiit.com/posts/list/integral-calculus-indefinte-integration-reloaded-998418.htm

akki ~~ unlucky forever ~~

$I = \int e^x(\frac{x^4+2}{(1+x^2)^\frac{5}{2}})dx\\ \\ \\ now\ in\ such\ questions,try \ to\ arrange\ the\ polynomial\ terms\\ in\ such\ form\ that\ polynomial\ can\ be\ written\ as\ sum\ diff \ of\\ a\ polynomial\ &\ it$

second que is done in link given by Kabi.

The wicked warrior ''Anurag the devil''

1) take x=tan theta then aplly by parts....quite lengthy but simple ...........................(2)take x=cos 2 theta now..........transform 1-cos 2 theta to 2^1/2 sin^2 theta and 1+ cos 2theta to 2^1/2 sos theta now take log 2^1/2 outside (logmn=logm+logn) and only integration of -log(sin theta + cos theta)sin 2theta remains now use by parts ...................

snehil

@kabi i din get ur method.....not clear.....and @akki thanks for 1st one and anurag ur method not clear

Ask & Discuss Questions with Community & Experts