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Single Variable Calculus

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Moderate

Integration by Parts: Exponential and Trigonometric Functions

SVCALC-YGE9CU

Evaluate the integral

$$\int \pi^x \sin x dx$$

A

$\dfrac{-\pi^x\cos x + \ln \pi \cdot \pi^x \sin x}{1+\ln^2\pi} +C$

B

$\dfrac{-\pi^x\cos x + \ln \pi \cdot \pi^x \sin x}{1+\ln\pi} +C$

C

$\dfrac{\pi^x\cos x + \cdot \pi^x \sin x}{1+\ln\pi} +C$

D

$\dfrac{-\pi^x\cos x + \ln \pi \cdot \pi^x \sin x}{1-\ln^2\pi} +C$