Find the Integral $$\int e ^ { 3 x } \sin 5 x d x$$

question 136

Multiple Choice

Find the integral.
$$\int e ^ { 3 x } \sin 5 x d x$$
Select the correct answer.

• A) \(\frac { 1 } { 34 } e ^ { 3 x } ( 3 \sin 5 x - 3 \cos 5 x ) - C\)
• B) \(\frac { 1 } { 34 } e ^ { 3 x } ( 3 \sin 5 x - 5 \cos 3 x ) - C\)
• C) \(\frac { 1 } { 34 } e ^ { 3 x } ( 3 \sin 5 x - 3 \cos 5 x ) + C\)
• D) \(\frac { 1 } { 34 } e ^ { 3 x } ( 3 \sin 5 x - 5 \cos 5 x ) + C\)

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Definitions:

Pay Differential

The variation in pay rates not explained by merit or performance, often resulting from factors like location, working hours, or job hazards.

Green-circle Rate

A situation in wage-setting where an employee's pay is below the minimum of the range set for their job class, often due to an anomaly or an exception in the salary structure.

Rank-and-file Adjustment

Changes or modifications made to the conditions or ranks of the general workforce, not the leadership or management.

Uniformed Services Employment and Reemployment Rights Act

A federal law that provides job protection and rights for military service members upon their return to civilian employment.