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 R.D.Sharma Maths Class 12 Chapter 18 Indefinite Integrals Exercise Multiple Choice Questions Question 13 Maths Textbook Solution.

Need Solution for R.D.Sharma Maths Class 12 Chapter 18 Indefinite Integrals Exercise Multiple Choice Questions Question 13 Maths Textbook Solution.

Answers (1)

Answer:

2 \sin \sqrt{x}+C

Given:

\int \frac{\cos \sqrt{x}}{\sqrt{x}} d x

Hint

Using \int \cos x d x

Explanation:

Let \mathrm{I}=\int \frac{\cos \sqrt{x}}{\sqrt{x}} d x

        =\int \cos t .2 d t                                                                    \left[\text { Put } \sqrt{x}=t \Rightarrow \frac{1}{2 \sqrt{x}} d x=d t \Rightarrow \frac{d x}{\sqrt{x}}=2 d t\right]

        \begin{aligned} &=2 \int \cos t d t \\ &=2 \sin t+C \\ &=2 \sin \sqrt{x}+C \end{aligned}                                                                   \left[\because \int \cos x d x=\sin x+C\right]

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 Supplementary Result 2025 LIVE: Class 10, 12 compartment result soon on results.cbse.nic.in; updates
anam-khan

CBSE Supplementary Result 2025 LIVE: Class 10, 12 supplementary result soon on results.cbse.nic.in
anam-khan

CBSE Class 12 revaluation, verification results 2025 out at results.cbse.nic.in

Latest Question