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in Indefinite Integral by (51.0k points)

Evaluate the integral: ∫1/(3 + 2sin x + cos x) dx

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Given as ∫1/(3 + 2sin x + cos x) dx

As we know that

On replacing (1 + tan2x)/2 in numerator by sec2x/2 and putting tan (x/2) = t and sec2(x/2) dx = 2dt

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