Browse by Stream
QnA
Home
QnA
Go To Your Study Dashboard

Get Answers to all your Questions

header-bg qa
  • Home
  • NCERT
  • Integrate the functions in Exercises 1 to 24. 7

Integrate the functions in Exercises 1 to 24.

    Q7.    \frac{\sin x}{\sin (x-a)}

Answers (1)

best_answer

We have,         

                                         I\ =\ \frac{\sin x}{\sin (x-a)}   

Assume :-                        (x-a)\ =\ t \Rightarrow \ dx=dt

Putting this in above integral :

                                         \int \frac{\sin x}{\sin (x-a)}dx\ =\ \int \frac{\sin (t+a)}{\sin t}dt

or                                                                           =\ \int \frac{\sin t \cos a\ +\ \cos t \sin a }{\sin t}dt

or                                                                           =\ \int (\cos a\ +\ \cot t \sin a)dt

or                                                                           =\ t\cos a\ +\ \sin a \log |\sin t|\ +\ C

or                                                                            =\ \sin a \log \left | \sin(x-a) \right | + x\cos a\ +\ C

Posted by

Devendra Khairwa

View full answer

Crack CUET with india's "Best Teachers"

  • HD Video Lectures
  • Unlimited Mock Tests
  • Faculty Support
cuet_ads

Similar Questions

Trending Articles/News

anam-khan

Board Exam Result 2025 Live: UK Board 10th, 12th results tomorrow; AP SSC, TS Inter, UP, CBSE updates
anam-khan

When will CBSE Class 12 results 2025 be declared? Last two years' trends
anam-khan

CBSE Class 10, 12 board exams 2025 from April 7 to 11 for sports students

Latest Question