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Use a Table of Integrals to Evaluate the Integral ∫e−7xsin⁡3xdx\int e^{-7 x} \sin 3 x d x

Question 26

Multiple Choice

Use a table of integrals to evaluate the integral. ∫e−7xsin⁡3xdx\int e^{-7 x} \sin 3 x d x


A) −110e−7x(7sin⁡3x+7cos⁡3x) +C-\frac{1}{10} e^{-7 x}(7 \sin 3 x+7 \cos 3 x) +C
B) −110e−7x(7sin⁡3x+3cos⁡3x) +C-\frac{1}{10} e^{-7 x}(7 \sin 3 x+3 \cos 3 x) +C
C) −158e−7x(7sin⁡3x+7cos⁡3x) +C-\frac{1}{58} e^{-7 x}(7 \sin 3 x+7 \cos 3 x) +C
D) −158e−7x(7sin⁡3x+3cos⁡3x) +C-\frac{1}{58} e^{-7 x}(7 \sin 3 x+3 \cos 3 x) +C

Correct Answer:

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