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$\int\frac{\frac{\frac{1-\cos\left(a\right)}{\sin\left(a\right)}}{\sin\left(a\right)}}{1-\cos\left(a\right)}da$
Learn how to solve integral calculus problems step by step online. Integrate the function (((1-cos(a))/sin(a))/sin(a))/(1-cos(a)). Find the integral. We can solve the integral \int\frac{\frac{\frac{1-\cos\left(a\right)}{\sin\left(a\right)}}{\sin\left(a\right)}}{1-\cos\left(a\right)}da by applying the method Weierstrass substitution (also known as tangent half-angle substitution) which converts an integral of trigonometric functions into a rational function of t by setting the substitution. Hence. Substituting in the original integral we get.