Browse by Stream
QnA
Home
QnA
Go To Your Study Dashboard

Get Answers to all your Questions

header-bg qa
  • Home
  • School
  • Explain Solution R.D.Sharma Class 12 Chapter 18 Indefinite Integrals Exercise 18.3 Question 7 Maths Textbook Solution.

Explain Solution R.D.Sharma Class 12 Chapter 18 Indefinite Integrals Exercise 18.3  Question 7 Maths Textbook Solution.

Answers (1)

Answer: \frac{1}{2} \log |2 x+1|+\frac{1}{2(2 x+1)}+c

Hint : \text { To solve this equation we differentiate differently }

Given: \int \frac{2 x}{(2 x+1)^{2}} d x

Solution: \int \frac{2 x}{(2 x+1)^{2}} d x

\int \frac{(2 x+1)-1}{(2 x+1)^{2}} d x

=\int \frac{1}{(2 x+1)} d x-\int \frac{1}{(2 x+1)^{2}} d x

\left[\begin{array}{l} \int \frac{1}{a x+b} d x=\log \frac{1}{a}|a x+b|+c \\ \int(a x+b)^{n}=\frac{(a x+b)^{n+1}}{a(n+1)}+c, n \neq 1 \end{array}\right]

\begin{aligned} &=\frac{1}{2} \log |2 x+1|+\frac{1}{2} \frac{1}{(2 x+1)}+c \\ &=\frac{1}{2} \log |2 x+1|+\frac{1}{2(2 x+1)}+c \end{aligned}

 

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

Board Exam Time Table 2025 Live: UP Board exams from February 24; CBSE, BSEB date sheet soon
anam-khan

CBSE Date Sheet 2025 Live: Class 10, 12 board exam dates soon; syllabus, sample papers
anam-khan

Extra time in CBSE exams for students with type 1 diabetes: Kerala SHRC seeks report on plea

Latest Question