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$\int\frac{\left(1-\tan\left(x\right)\right)^2}{\csc\left(x\right)^2}dx$
Learn how to solve integral calculus problems step by step online. Integrate the function ((1-tan(x))^2)/(csc(x)^2). Find the integral. Rewrite the integrand \frac{\left(1-\tan\left(x\right)\right)^2}{\csc\left(x\right)^2} in expanded form. Expand the integral \int\left(\frac{\sec\left(x\right)^2}{\csc\left(x\right)^2}+\frac{-2\tan\left(x\right)}{\csc\left(x\right)^2}\right)dx into 2 integrals using the sum rule for integrals, to then solve each integral separately. Simplify the expression inside the integral.