$\text { Determine whether the improper integral } \int _ { 0 } ^ { \infty } e ^ { - 3 x } \sin ( 3 x ) d x \text { diverges or converges. }$

question 33

Multiple Choice

$\text { Determine whether the improper integral } \int _ { 0 } ^ { \infty } e ^ { - 3 x } \sin ( 3 x ) d x \text { diverges or converges. }$ Evaluate the integral if it converges.

• A) 18
• B) 9
• C) \(\frac { 1 } { 6 }\)
• D) 3
• E) diverges

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