Integral of e^x [f(x) + f'(x)] where f is a trigonometric or log function

1. A.
   $-e^{x}\cot\frac{x}{2}+c$
2. B.
   $e^{x}\cot\frac{x}{2}+c$
3. C.
   $e^{x}\csc\frac{x}{2}+c$
4. D.
   $-e^{x}\csc\frac{x}{2}+c$

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1. A.
   $e^x\cot x+c$
2. B.
   $e^x\csc x+c$
3. C.
   $-e^x\cot x+c$
4. D.
   $-e^x\csc x+c$

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1. A.
   $e^{2x}\cot(2x) + c$, where c is the constant of integration
2. B.
   $\ 2e^{2x}\cot(2x) + c$, where c is the constant of integration
3. C.
   $4e^{2x}\cot(2x) + c$, where c is the constant of integration
4. D.
   $\frac{1}{2}e^{2x}\cot(2x) + c$, where c is the constant of integration

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1. A.
   $\dfrac{1}{8}$
2. B.
   $64$
3. C.
   $8$
4. D.
   $\dfrac{1}{64}$

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1. A.
   $e^x\cos x + C$
2. B.
   $e^x\sin x + C$
3. C.
   $e^x\sin^2 x + C$
4. D.
   $e^x\sin 2x + C$

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1. A.
   $e^x \cot x + C$
2. B.
   $e^x \log\sin x + C$
3. C.
   $e^x \log\sin x + \tan x + C$
4. D.
   $e^x + \sin x + C$

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