JEE MATHEMATICS MCQ: INDEFINITE INTEGRATION

1 Easy

1 of 1

Application +4 | -1

\int e^x \cos 4 x \mathrm{~d} x=A e^{5 x}\left(\sin 4 x+\frac{5}{4} \cos 4 x\right)+C

then

A

is equal to

View answer and explanation

Correct option: A

\frac{4}{41}

Option A is correct because after integrating by parts twice and solving for the integral, the coefficient A is found to be

\frac{4}{41}

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