JEE MATHEMATICS MCQ: INDEFINITE INTEGRATION

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Application +4 | -1

\mathrm{P}=\int \mathrm{e}^{\mathrm{ax}} \cos \mathrm{bx} d \mathrm{x}

and

\mathrm{Q}=\int \mathrm{e}^{\mathrm{ax}} \sin \mathrm{bx} d \mathrm{x}

, then

\left(\mathrm{P}^2+\mathrm{Q}^2\right)

is equal to (neglect integration constant)

View answer and explanation

Correct option: C

\frac{e^{2 a x}}{a^2+b^2}

Option C (

\frac{e^{2 a x}}{a^2+b^2}

) is correct because by using complex numbers and taking the modulus, the result matches this option.

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