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$\int\frac{1+\frac{-1}{\cos\left(x\right)}}{1+\frac{1}{\cos\left(x\right)}}dx$
Learn how to solve integral calculus problems step by step online. Integrate the function (1+-1/cos(x))/(1+1/cos(x)). Find the integral. We can solve the integral \int\frac{1+\frac{-1}{\cos\left(x\right)}}{1+\frac{1}{\cos\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. Hence. Substituting in the original integral we get.