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$\int\left(\csc\left(x\right)^2-1\right)\sec\left(x\right)dx$
Learn how to solve problems step by step online. Find the integral of (csc(x)^2-1)sec(x). Find the integral. Rewrite the integrand \left(\csc\left(x\right)^2-1\right)\sec\left(x\right) in expanded form. Expand the integral \int\left(\csc\left(x\right)^2\sec\left(x\right)-\sec\left(x\right)\right)dx into 2 integrals using the sum rule for integrals, to then solve each integral separately. The integral \int\csc\left(x\right)^2\sec\left(x\right)dx results in: \ln\left(\sec\left(x\right)+\tan\left(x\right)\right)+\frac{1}{-\sin\left(x\right)}.