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$\int\left(\frac{1}{\cos\left(x\right)}+\frac{-\cos\left(x\right)}{1+\sin\left(x\right)}\right)dx$
Learn how to solve integral calculus problems step by step online. Integrate the function 1/cos(x)+(-cos(x))/(1+sin(x)). Find the integral. Simplify the expression inside the integral. The integral \int\frac{1}{\cos\left(x\right)}dx results in: \ln\left(\sec\left(x\right)+\tan\left(x\right)\right). The integral -\int\frac{\cos\left(x\right)}{1+\sin\left(x\right)}dx results in: -\ln\left(1+\sin\left(x\right)\right).