JEE MATHEMATICS MCQ: INDEFINITE INTEGRATION

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Application +4 | -1

u=\int e^{a x} \sin b x \,d x

and

v=\int e^{a x} \cos b x \,d x,

then

\left(u^2+v^2\right)\left(a^2+b^2\right)=

View answer and explanation

Correct option: B

e^{2 a x}

Option B,

e^{2 a x}

, is correct because when

u

and

v

are squared and added, and then multiplied by

(a^2+b^2)

, the result simplifies to

e^{2ax}

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