Decide Whether the Integral Converges $\int _ { 0 } ^ { + \infty } e ^ { - 3 x } \cos ( 3 x ) \mathrm { d } x$

question 10

Multiple Choice

Decide whether the integral converges. If the integral converges, compute its value. $\int _ { 0 } ^ { + \infty } e ^ { - 3 x } \cos ( 3 x ) \mathrm { d } x$

• A) \(\frac { 1 } { 5 }\)
• B) \(\frac { 1 } { 2 }\)
• C) \(\frac { 1 } { 6 }\)
• D) \(\frac { 1 } { 3 }\)
• E) diverges

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