JEE MATHEMATICS MCQ: INDEFINITE INTEGRATION

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Application +4 | -1

\int \frac{a \sin x+b \cos x}{c \sin x+d \cos x} d x=p x+q \log _e|c \sin x+d \cos x|+c

where

p+q

is equal to

View answer and explanation

Correct option: A

\frac{c(a+b)-d(a-b)}{c^2+d^2}

Option A (

\frac{{c(a+b)-d(a-b)}}{{c^2+d^2}}

) is correct because it represents the value of

p+q

obtained by decomposing the integrand and integrating.

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