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$\int\frac{\csc\left(x\right)-\sin\left(x\right)}{\cot\left(x\right)}dx$
Learn how to solve integral calculus problems step by step online. Integrate the function (csc(x)-sin(x))/cot(x). Find the integral. Expand the fraction \frac{\csc\left(x\right)-\sin\left(x\right)}{\cot\left(x\right)} into 2 simpler fractions with common denominator \cot\left(x\right). Simplify the expression inside the integral. The integral \int\frac{\csc\left(x\right)}{\cot\left(x\right)}dx results in: \ln\left(\sec\left(x\right)+\tan\left(x\right)\right).