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integrate sq rt sin(x-a)/sqrt sin(x+a)

integrate sq rt sin(x-a)/sqrt sin(x+a)

Grade:12

1 Answers

Latika Leekha
askIITians Faculty 165 Points
8 years ago
Hello student,
The given question is \sqrt{\frac{sin(x-a)}{sin(x+a)}}dx

Let I = \sqrt{\frac{sin(x-a)}{sin(x+a)}}dx
= \int \frac{sin(x-a)}\sqrt{sin(x-a)sin(x+a)}{}
= \int \frac{sin x cos a - cos x sin a}\sqrt{sin^{2}x - sin^{2}a}{}
= I1- I2
Now, considering these one by one
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