Find the indefinite integral.

Name: Find the indefinite integral.
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Question

Quizplus · Accepted Answer

The indefinite integral of $e^{ax}\cos bx$ is $\frac{e^{ax}}{a^2+b^2}(a\cos bx + b\sin bx) + C$. In this case, $a=11$ and $b=-3$, so the indefinite integral is $\frac{e^{11x}}{11^2+(-3)^2}(11\cos (-3x) - 3\sin (-3x)) + C$. Simplifying gives $\frac{e^{11x}}{130}(11\cos 3x + 3\sin 3x) + C$, which matches choice (B).

Find the Indefinite Integral