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Grade 12Integral Calculus

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

abhilash

11 Years agoGrade 12

1 Answer

Latika Leekha

11 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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