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  • need solution for rd sharma maths class 12 chapter Indefinite integrals exercise 18.4 question 3

need solution for rd sharma maths class 12 chapter Indefinite integrals exercise 18.4 question 3

Answers (1)

Answer:

\Rightarrow \frac{x^{2}}{6}+\frac{1}{4}x^{}+\frac{43}{27}\log \left | 3x+2 \right |+C

Hint:

Use integral by partial fraction.

Given:

\int \frac{x^{2}+x+5}{3x+2}dx

Solution:

\int \frac{x^{2}+x+5}{3x+2}dx

So, we can write equation as

I=\frac{1}{3}\int x dx+\frac{1}{9}\int dx+\frac{43}{9}\int\frac{1}{3x+2}dx

I= \frac{x^{2}}{6}+\frac{1}{9}x+\frac{43}{27}\log \log \left | 3x+2 \right |+C

Posted by

infoexpert26

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