Ask iit jee aieee pet cbse icse state board community Discussion Response Post to: [1.6]Indefinite Integral
Forum Index -> Integral Calculus -> View Full Question Email  
Author Message
Titun (1467)

Forum Expert


Titun's Avatar

total posts: 374    
Offline
xlog(x+1) dx

=
ln(x+1) x dx - x2/2 . 1/(x+1) dx       [ integrating by parts ]

= x2 / [2.ln(x+1) ] - 1/2
[ (x2+x - (x+1) + 1] / (x+1)  dx

=
x2 / [2.ln(x+1) ] - 1/2 x dx + 1/2 dx - 1/(x+1) dx

=
x2 / [2.ln(x+1) ] - x2 / 4 + x/2 - ln (x+1) + C

Cheers !!
 

You never know what is enough till you know what is more than enough. Titun
0 people liked this
 
Free Sign Up!

Preparing for IIT-JEE ?

Arihant Revision Package for IIT JEE - Books, Practice Tests + Rank Predictor


@ INR 1,995/-

For Quick Info

Name

Mobile No.

Sponsored Ads