Browse by Stream
QnA
Home
QnA
Go To Your Study Dashboard

Get Answers to all your Questions

header-bg qa
  • Home
  • School
  • Integrate : x tan^-1 x / square root (1+x^2)

Integrate : x tan^-1 x / square root (1+x^2)

Answers (1)

best_answer

Solution:   We have 

                      I=int fracx an^-1xsqrt1+x^2dx

        Integrating by parts  , we get 

         u= an^-1x Rightarrow du=fracdx1+x^2;v=sqrt1+x^2Rightarrow dv=fracxdxsqrt1+x^2\ \ Rightarrow hspace1cmI=sqrt1+x^2 an^-1x-int sqrt1+x^2 cdot fracdx1+x^2\ \ Rightarrow hspace1cmI=sqrt1+x^2 an^-1x-ln (x+sqrtx^2+1)+C

Posted by

Deependra Verma

View full answer

Similar Questions

Latest Question