Evaluate the integral.
-$$\int _ { 0 } ^ { \infty } e ^ { - x } \cos 2 x d x$$
A) $\frac { 2 } { 5 }$
B) Diverges
C) 1
D) $\frac { 1 } { 5 }$

Name: Evaluate the integral. -\[\int _ { 0 } ^ { \infty } e ^ { - x } \cos 2 x d x\] A) $\frac { 2 } { 5 }$ B) Diverges C) 1 D) $\frac { 1 } { 5 }$
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Question

Quizplus · Accepted Answer

The integral can be evaluated using integration by parts or recognizing it as a Laplace transform. The result is $\frac{1}{5}$.

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Evaluate the Integral $\int _ { 0 } ^ { \infty } e ^ { - x } \cos 2 x d x$