Integral of 1/((x + a)^p (x - b)^q) where the powers p and q add up to 2

1. A.
   $4\left(\frac{x+1}{x-2}\right)^{1/4} + c$
2. B.
   $4\left(\frac{x-2}{x-1}\right)^{1/4} + c$
3. C.
   $-\frac{4}{3}\left(\frac{x-2}{x+1}\right)^{1/4} + c$
4. D.
   $-\frac{4}{3}\left(\frac{x+1}{x-2}\right)^{1/4} + c$

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1. A.
   $\frac{7}{a + b}\left( \frac{x - b}{x + a} \right)^{\frac{9}{7}} + c$, where c is the constant of integration.
2. B.
   $\frac{7}{a + b}\left( \frac{x - b}{x + a} \right)^{\frac{5}{7}} + c$, where $c$ is the constant of integration.
3. C.
   $\frac{7}{2(a + b)}\left( \frac{x - b}{x + a} \right)^{\frac{2}{7}} + c$, where $c$ is the constant of integration.
4. D.
   $\frac{7}{a + b}\left( \frac{x - b}{x + a} \right)^{\frac{1}{7}} + c$, where $c$ is the constant of integration.

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