Browse by Stream
QnA
Home
QnA
Go To Your Study Dashboard

Get Answers to all your Questions

header-bg qa
  • Home
  • School
  • Please solve RD Sharma class 12 chapter Indefinite Integrals exercise 18.8 question 45 maths textbook solution

Please solve RD Sharma class 12 chapter Indefinite Integrals exercise 18.8 question 45 maths textbook solution

Answers (1)

Answer:

        cos(a-b)log\left | sin(x+b) \right |-xsin(a-b)+C

Hint:

        cos(A+B)=cosAcosB-sinAsinB

Given:

        \int \! \frac{cos(x+a)}{sin(x+b)}dx

Explanation:

        =\int \! \frac{cos(x+a-b+b)}{sin(x+b)}dx        ...adding and subtracting b in numerator

        =\int \! \frac{cos(x+b+a-b)}{sin(x+b)}dx

        =\int \! \frac{cos(x+b)cos(a-b)-sin(x+b)sin(a-b)}{sin(x+b)}dx

        =\int \! cot(x+b)cos(a-b)dx-\int \! sin(a-b)dx

        =cos(a-b)\int \! cot(x+b)dx-sin(a-b)\int \!dx

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

Posted by

Gurleen Kaur

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

CBSE Results 2026: Board warns teachers of legal action for sharing 'misleading' information on evaluation
anam-khan

CBSE 12th Hindi Analysis 2026: Paper ‘easy, balanced’ with direct questions, say experts
anam-khan

Iran-Israel War: CBSE cancels Class 12 board exams in 7 Middle East countries; result formula to be announced

Latest Question