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Evaluate : ∫ (√(sin x/(2sin x + 3 cos x))) dx

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in Integrals calculus by (36.9k points)

Evaluate : ∫ (√(sin x/(2sin x + 3 cos x))) dx

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1 Answer

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Best answer

Let 2 + 3cot x = t2 

– 3cosec2 x dx = 2t dt 

dx = – (2t dt/3(t4 + 1)

where t = √(2 + 3cot x)

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