Browse by Stream
QnA
Home
QnA
Go To Your Study Dashboard

Get Answers to all your Questions

header-bg qa
  • Home
  • School
  • If the Integral of sinx/sin(x-a) =Ax+B In sin (x-a) +c, then A and B are given by

If the Integral of sinx/sin(x-a) =Ax+B In sin (x-a) +c, then A and B are given by

Answers (1)

best_answer

Solution: 

          \Rightarrow I=int sinx/sin(x-a)hspace0.1cmdx

        Put          x-a=tRightarrow dx=dt

        \ Rightarrow I=int sin(t+a)/sint hspace0.1cmdt\ \Rightarrow I=int [sintcdot cosa+costcdot sina/sint]dt\ \Rightarrow I=tcdot cosa+(sina)ln sint+c\ \Rightarrow I=(x-a)(cosa)+(sina)ln sin(x-a)+c

Hence,     \Rightarrow A=cosa hspace0.2cm,B=sina

Posted by

Deependra Verma

View full answer

Similar Questions

Latest Question