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$\int\frac{\sec\left(x\right)^2}{\csc\left(x\right)^2}dx$
Learn how to solve integral calculus problems step by step online. Integrate the function (sec(x)^2)/(csc(x)^2). Find the integral. Simplify \frac{\sec\left(x\right)^2}{\csc\left(x\right)^2} using trig identities. Applying the trigonometric identity: \tan\left(\theta \right)^2 = \sec\left(\theta \right)^2-1. Expand the integral \int\left(\sec\left(x\right)^2-1\right)dx into 2 integrals using the sum rule for integrals, to then solve each integral separately.