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 3 Maths Textbook Solution.

Please Solve RD Sharma Class 12 Chapter 18 Indefinite Integrals Exercise18.5 Question 3 Maths Textbook Solution.

Answers (1)

Answer: \frac{2}{3}(x+4)^{\frac{3}{2}}-10(x+4)^{\frac{1}{2}}+C

Hint: Use Integration by partial function.

Given: \int \frac{x-1}{\sqrt{x+4}} d x \\

Solution:

\begin{aligned} &=\int \frac{x-1}{\sqrt{x+4}} d x \\ &=\int \frac{x+4-5}{\sqrt{x+4}} d x \end{aligned}

\begin{aligned} &=\int \frac{x+4}{\sqrt{x+4}} d x-5 \int \frac{d x}{\sqrt{x+4}} \\ &=\int \sqrt{x+4} d x-5 \int(x+4)^{\frac{-1}{2}} \end{aligned}
\begin{aligned} &=\frac{(x+4)^{\frac{1}{2}+1}}{\frac{1}{2}+1}-5 \times \frac{(x+4)^{\frac{-1}{2}+1}}{\frac{-1}{2}+1} \\ &=\frac{2}{3}(x+4)^{\frac{3}{2}}-10(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

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