If $\int \frac{4 x+1}{x^2+3 x+2} d x=a \log |x+1|+b \log |x+2|+C$, then

JEE MATHEMATICS MCQ: INDEFINITE INTEGRATION

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\int \frac{4 x+1}{x^2+3 x+2} d x=a \log |x+1|+b \log |x+2|+C

, then

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Correct option: B

a+b=4

Option B is correct because after performing partial fraction decomposition and integrating, we find that

a + b = 4

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