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 18.19 Question 15 maths Textbook Solution.

Explain Solution R.D.Sharma Class 12 Chapter 18 Indefinite Integrals Exercise 18.19 Question 15 maths Textbook Solution.

Answers (1)

Answer:\log \frac{|3 x+4|}{3}+c

Hint: Solve Integration

Given: \int \frac{x+7}{3 x^{2}+25 x+28} d x

Solution:

            \begin{aligned} &\int \frac{x+7}{3 x^{2}+25 x+28} d x \\ &=\int \frac{x+7}{3 x^{2}+21 x+4 x+28} d x \\ &=\int \frac{x+7}{3 x(x+7)+4(x+7)} d x \\ &=\int \frac{x+7}{(3 x+4)(x+7)} d x \\ &=\int \frac{d x}{3 x+4} \end{aligned}

            Let,\begin{aligned} &3 x+4=t \\ &3 d x=d t \end{aligned}

                  d x=\frac{d t}{3}

  \begin{aligned} &=\int \frac{d t}{3 t}+c \\ &=\frac{1}{3} \log |3 x+4|+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

CBSE extends Class 12 re-evaluation, verification deadline to June 7 amid portal issues
anam-khan

CBSE approaches Delhi Police over coordinated cyber attacks on post-result services portal
anam-khan

'CBSE made to adopt OSM system at inflated rates': Congress alleges, demands Pradhan's resignation

Latest Question