JEE MATHEMATICS MCQ: INDEFINITE INTEGRATION

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Analyzing +4 | -1

\int \frac{2 x+5}{\sqrt{9 x^2+6 x+2}} d x =a \sqrt{9 x^2+6 x+2}+b \log _e\left(3 x+1+\sqrt{9 x^2+6 x+2}\right)+c

then

9(a+b)

is equal to

View answer and explanation

Correct option: C

Option C (41) is correct because after evaluating the integral and comparing coefficients, 9(a+b) equals 41.

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