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 5 maths textbook solution

Please solve RD Sharma class 12 chapter Indefinite Integrals exercise 18.8 question 5 maths textbook solution

Answers (1)

Answer:

            2sin\: x-log\left | sec\: x+tan\; x \right |+C

Hint:

            sec\: x=\frac{1}{cos\: x}

Given:

        \int \frac{sec\: x}{sec\: 2x }dx

Explanation:

        \int\left(\frac{1}{\cos x}\right)\left(\frac{1}{\frac{1}{\cos 2 x}}\right) d x

       =\int\! \frac{cos\: 2x}{cos\: x}dx

       =\int\! \frac{2cos^{2}\: x-1}{cos\: x}dx

       =\int\!2\frac{cos^{2}x}{cos\: x}dx-\frac{1}{cos\: x}dx

       =2\! \int\!cos\: xdx-\int\! sec\: xdx

       =2 sin\; x-log\left | sec\: x +tan\: x\right |+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 Class 12 Accountancy Exam Analysis 2025: Paper ‘moderate', includes application-based questions
anam-khan

CBSE mulls allowing non-programmable, basic calculators for class 12 Accountancy exam
anam-khan

CBSE Class 12 Biology Exam Analysis 2025: Paper 'moderate, well-structured'; passing marks, students' feedback

Latest Question