JEE MATHEMATICS MCQ: INDEFINITE INTEGRATION

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Application +4 | -1

\int \frac{3 \cos x+3 \sin x}{4 \sin x+5 \cos x} d x=

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Correct option: A

\frac{27}{41} x-\frac{3}{41} \log (4 \sin x+5 \cos x)+c

Option A is correct because the integral is solved by expressing the numerator as a linear combination of the denominator and its derivative.

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