1.

Evaluate the integral: ∫cot x/log (sin x) dx

Answer»

Take log (sin x) = t

So we get

cos x/sin x dx = dt

By cross multiplication

cot x dx = dt

By integrating w.r.t. t

∫1/t dt = log t + c

By substituting the value of t

= log (log sin x) + c



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