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