Browse by Stream
QnA
Home
QnA
Go To Your Study Dashboard

Get Answers to all your Questions

header-bg qa
  • Home
  • School
  • Need solution for RD Sharma Maths Class 12 Chapter 18 Indefinite Integrals Excercise Very Short Answers Question 44

Need solution for RD Sharma Maths Class 12 Chapter 18 Indefinite Integrals Excercise Very Short Answers Question 44

Answers (1)

Answer: \frac{-1}{4}\tan\left ( 7-4x \right )+c

Hint: You must know about the integral rule of trigonometric functions.

Given: \int \sec^{2}\left ( 7-4x \right )dx

Solution:

\int \sec^{2}\left ( 7-4x \right )dx

Put (7-4x) = t   and differentiate both sides, \left [ \frac{d}{dx} ax=a\right ]

dx= \frac{-dt}{4}

\begin{aligned} &=\int \sec ^{2}(t) \frac{d t}{-4} \\ &=\frac{-1}{4} \int \sec ^{2}(t) d t \\ &=\frac{-1}{4} \tan (t)+c \\ &=\frac{-1}{4} \tan (7-4 x)+c\quad\quad\quad\quad\quad\quad \quad\left[\because \int \sec ^{2} x d x=\tan x+c\right] \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

CBSE Class 10, 12 results 2024 likely after May 20, says result portal
anam-khan

CBSE Result Date 2024 Live: CBSE Class 10, 12 board results for 39 lakh students at cbse.nic.in after May 20
anam-khan

CBSE Results 2024: Last 9 years’ CBSE Class 10, 12 result date and time; links to check score

Latest Question