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$\int\csc\left(x\right)\left(\sin\left(x\right)+\cos\left(x\right)\right)dx$
Learn how to solve problems step by step online. Integrate the function csc(x)(sin(x)+cos(x)). Find the integral. Rewrite the integrand \csc\left(x\right)\left(\sin\left(x\right)+\cos\left(x\right)\right) in expanded form. Expand the integral \int\left(1+\cot\left(x\right)\right)dx into 2 integrals using the sum rule for integrals, to then solve each integral separately. We can solve the integral \int\cot\left(x\right)dx 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.