Browse by Stream
QnA
Home
QnA
Go To Your Study Dashboard

Get Answers to all your Questions

header-bg qa
  • Home
  • School
  • Provide Solution For R.D.Sharma Maths Class 12 Chapter 18 Indefinite Integrals Exercise 18.11 Question 1 Maths Textbook Solution.

Provide Solution For R.D.Sharma Maths Class 12 Chapter 18  Indefinite Integrals Exercise 18.11 Question 1 Maths Textbook Solution.

Answers (1)

Answer: \frac{1}{4} \tan ^{4} x+C

Hint :-  Use substitution method to solve this integral.

Given:\int \tan ^{3} x \cdot \sec ^{2} x d x

Solution: Let I=\int \tan ^{3} x \cdot \sec ^{2} x d x

Put \tan x=t \rightarrow \sec ^{2} x d x=d t then

I=\int t^{3} \cdot \mathrm{dt}                              \text { (if, } \tan x=t \text { ) }

  =\frac{t^{3+1}}{3+1}+C                            \text { (if, } \left.\int x^{n} d x=\frac{x^{n+1}}{n+1}+c\right)

=\frac{t^{4}}{4}+c

=\frac{\tan ^{4} x}{4}+C \quad(\text { if, } \mathrm{t}=\tan \mathrm{x})

 

 

Posted by

infoexpert21

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 board exams 2025 to have 50% competency-based questions; no change in 10th
anam-khan

CBSE Class 12 board exams 2024 over; expected result date, trends of last 10 years
anam-khan

CBSE Class 12 accountancy board exam analysis 2024 out; paper rated easy, balanced

Latest Question