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Evaluate ∫(dx/(1 + cotx)).

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+1 vote
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in Integrals calculus by (41.4k points)

Evaluate ∫(dx/(1 + cotx)).

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1 Answer

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Best answer

sinx = M(d/dx)(sinx + cosx) + N(sinx + cosx)

= M(-sinx + cosx) + N(sinx + cosx)

Comparing the coefficients of sinx and cosx, we have

- M + N = 1, M + N = 0

Solving these equations, we have M = - 1/2, N = 1/2.

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