Browse by Stream
QnA
Home
QnA
Go To Your Study Dashboard

Get Answers to all your Questions

header-bg qa
  • Home
  • School
  • Find the definite integral 2(x)(1+sinx)/1+cos^2 x (where lower limit -pi and upper limit pi)

Find the definite integral 2(x)(1+sinx)/1+cos^2 x (where lower limit -pi and upper limit pi)

Answers (1)

best_answer

Solution:  We have ,

                  I=int_-pi^pifrac(2x)(1+sin x)1+cos^2xdx

    \ \ Rightarrow I=int_-pi^pifrac2x1+cos^2xdx+int_-pi^pifrac2xsin x1+cos^2xdx\ \ I= 4int _0^pifracxsin x1+cos^2xdx

ecause            frac2x1+cos^2x    is odd   and   fracxsin x1+cos^2x  is even 

Apply        int _0^2af(x)dx=2int _0^af(x)dx     Put   cos x=t

Hence ,          I=pi^2

 

Posted by

Deependra Verma

View full answer

Similar Questions

Latest Question