Use a Table of Integrals to Evaluate the Integral $\int e^{-7 x} \sin 3 x d x$

question 26

Multiple Choice

Use a table of integrals to evaluate the integral. $\int e^{-7 x} \sin 3 x d x$

• A) \(-\frac{1}{10} e^{-7 x}(7 \sin 3 x+7 \cos 3 x)+C\)
• B) \(-\frac{1}{10} e^{-7 x}(7 \sin 3 x+3 \cos 3 x)+C\)
• C) \(-\frac{1}{58} e^{-7 x}(7 \sin 3 x+7 \cos 3 x)+C\)
• D) \(-\frac{1}{58} e^{-7 x}(7 \sin 3 x+3 \cos 3 x)+C\)

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Definitions:

Cash Receipts

The collection of money, including cash, checks, and credit card payments, received by a business.

Cash Disbursements

Cash disbursements refer to the outflow of cash for expenses, including payments to suppliers, wages, and other operational costs.

Variable Overhead Rate

The rate at which variable overhead costs are allocated to products, based on an activity such as labor hours or machine hours.

Direct Labor-Hours

The total hours worked by employees directly involved in the manufacturing process.