Integral of x times a function symmetric about the midpoint, using x -> a + b - x to remove x

1. A.
   $\frac{\sqrt{2}\pi^{2}}{8}$
2. B.
   $\frac{\sqrt{2}\pi^{2}}{16}$
3. C.
   $\frac{\sqrt{2}\pi^{2}}{32}$
4. D.
   $\frac{\sqrt{2}\pi^{2}}{64}$

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1. A.
   $\pi^{2}$
2. B.
   $\frac{\pi^{2}}{2}$
3. C.
   $\frac{\pi}{2}$
4. D.
   $2\pi^{2}$

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1. A.
   $\frac{\pi^{2}}{16}$
2. B.
   $\frac{\pi^{2}}{4}$
3. C.
   $\frac{\pi^{2}}{8}$
4. D.
   $\frac{\pi^{2}}{12}$

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1. A.
   $2\pi^{2}$
2. B.
   $4\pi^{2}$
3. C.
   $\pi^{2}$
4. D.
   $\frac{3\pi^{2}}{2}$

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1. A.
   $\frac{\pi}{\sqrt{3}}(\pi + 1)$
2. B.
   $\frac{\pi}{\sqrt{3}}(\pi + 2)$
3. C.
   $\frac{\pi}{3\sqrt{3}}(\pi + 6)$
4. D.
   $\frac{\pi}{2\sqrt{3}}(\pi + 4)$

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