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Evaluate: ∫ (cos x/(6 – 5sin x + sin^2 x)) dx for x ∈ [0,π/2]

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Evaluate: ∫ (cos x/(6 – 5sin x + sin2 x)) dx for x ∈ [0,π/2]

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Best answer

Let sin x = t

cos x dx = dt 

When x = 0, then t = 0 

and x = π/2, then t = 1 

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