Browse by Stream
QnA
Home
QnA
Go To Your Study Dashboard

Get Answers to all your Questions

header-bg qa
  • Home
  • School
  • Provide Solutio for RD Sharma Class 12 Chapter Indefinite Integrals Exercise 18.12 Question 4

Provide Solutio for RD Sharma Class 12 Chapter Indefinite Integrals Exercise 18.12 Question 4

Answers (1)

Answer:-   \frac{1}{6} \sin ^{6} x+C

Hint: - Use substitution method to solve this integral.

Given:-   \int \sin ^{5} x \cdot \cos x d x

Solution: - Let   \int \sin ^{5} x \cdot \cos x d x

Substitute,

\begin{aligned} \operatorname{Sin} x &=t \Rightarrow \cos x d x=d t, \text { then } \\ \quad I &=\int t^{5} \cdot d t \\ \quad &=\frac{t^{5}+1}{5+1}+C \quad\quad\quad\quad\quad\quad\quad\quad\left[\therefore \int x^{n} d x=\frac{x^{n+1}}{n+1}+C\right] \end{aligned}
           \begin{aligned} &=\frac{t^{6}}{6}+C \\ &=\frac{\sin ^{6} x}{6}+C \quad\quad\quad\quad\quad\quad\quad\quad[\because t=\sin x] \end{aligned}

Posted by

infoexpert27

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

PM Modi's Pariksha Pe Charcha 2025 to be held next month, registrations open till January 14
anam-khan

CBSE Board Exams 2025: Online portal for availing exemptions by CWSN students opens
anam-khan

Board Exams: States agree to equivalence; no question paper ‘jumbling’ from next year, says PARAKH CEO

Latest Question