sin x times a function of cos x (or cos x times a function of sin x): substitute t = cos x or sin x

1. A.
   $\frac{5}{2\sqrt{3}}$
2. B.
   $-\frac{1}{2\sqrt{3}}$
3. C.
   $-\frac{2}{\sqrt{3}}$
4. D.
   $\frac{\sqrt{3}}{2}$

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1. A.
   $\dfrac{2\sin\theta+1}{\sin\theta+3}$
2. B.
   $\dfrac{2\sin\theta+1}{5(\sin\theta+3)}$
3. C.
   $\dfrac{5(\sin\theta+3)}{2\sin\theta+1}$
4. D.
   $\dfrac{5(2\sin\theta+1)}{\sin\theta+3}$

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1. A.
   $\frac{9}{16}$
2. B.
   $\ \frac{- 9}{16}$
3. C.
   $\frac{33}{16}$
4. D.
   $\frac{- 33}{16}$

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1. A.
   $\ \log\left( \cos x + \sqrt{\cos^{2}x + 5} \right) + c$, where c is the constant of integration
2. B.
   $\ \log\left( \sin x + \sqrt{6\cos^{2}x + 5} \right) + c$, where c is the constant of integration
3. C.
   $- \log\left( \cos x + \sqrt{\cos^{2}x + 6} \right) + c$, where c is the constant of integration
4. D.
   $- \log\left( \cos x + \sqrt{\cos^{2}x + 5} \right) + c$, where c is the constant of integration

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