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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. Integrate the function (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. We can solve the integral \int\csc\left(x\right)^2\sec\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.