JEE MATHEMATICS MCQ: INDEFINITE INTEGRATION

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Analyzing +4 | -1

\int\frac{a+b \sin x}{(b+a \sin x)^2} d x

equals

View answer and explanation

Correct option: A

-\left(\frac{a \cos x}{b+a \sin x}\right)+c

Option A (

-\left(\frac{{a \cos x}}{{b+a \sin x}}\right)+c

) is correct because the integral simplifies to this expression after algebraic manipulation and recognizing the derivative of a function.

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