Integral of 1/(sin(x - a) sin(x - b))

1. A.
   $-\frac{1}{\sin a}\log\left(\frac{\sin(x-a)}{\sin x}\right)+c$
2. B.
   $\frac{1}{\sin a}\log\left(\frac{\sin(x-a)}{\sin x}\right)+c$
3. C.
   $\frac{1}{\sin a}\log(\sin(x-a)\cdot\text{cosec}\,x)+c$
4. D.
   $-\frac{1}{\sin a}\log(\text{cosec}(x-a)\cdot\sin x)+c$

Tap an option to check your answer.

1. A.
   $\sin\alpha\left(\log(\sin(x-\alpha)\cdot\csc x)\right)+c$
2. B.
   $\csc\alpha\left(\log(\sin(x-\alpha)\cdot\csc x)\right)+c$
3. C.
   $-\sin\alpha\left(\log(\sin(x-\alpha)\cdot\sin x)\right)+c$
4. D.
   $-\csc\alpha\left(\log(\sin(x-\alpha)\cdot\sin x)\right)+c$

Tap an option to check your answer.

1. A.
   $\frac{1}{\sin(b-a)}\log\left|\frac{\sin(x-a)}{\sin(x-b)}\right| + c$
2. B.
   $\log\left|\frac{\sin(x-a)}{\sin(x-b)}\right| + c$
3. C.
   $\frac{1}{\sin(b-a)}\log\left|\frac{\sin(x-a)}{\sin(x-b)}\right| + c$
4. D.
   $\frac{1}{\sin(b-a)}\log\left|\frac{\sin(x-b)}{\sin(x-a)}\right| + c$

Tap an option to check your answer.