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 18 Indefinite Integrals Exercise18.5 Question 7 Maths Textbook Solution.

Please Solve RD Sharma Class 12 Chapter 18 Indefinite Integrals Exercise18.5 Question 7 Maths Textbook Solution.

Answers (1)

best_answer

Answer: \frac{2}{3}(x+4)^{\frac{3}{2}}-8(x+4)^{\frac{1}{2}}+C

Hint: Let x+4=t

Given: \int \frac{x}{\sqrt{x+4}}dx

Solution:

Let x+4=t , x=t+4
\begin{aligned} &d x=d t \\ &=\int \frac{t-4}{\sqrt{t}} d t \\ &=\int \frac{t}{\sqrt{t}} d t-\int \frac{4}{\sqrt{t}} d t \end{aligned}

\begin{aligned} &=\frac{2}{3}(t)^{\frac{3}{2}}-4 \cdot 2(t)^{\frac{1}{2}}+C \\ &=\frac{2}{3}(x+4)^{\frac{3}{2}}-8(x+4)^{\frac{1}{2}}+C \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

Latest Question