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** Step-by-step Solution **

Problem to solve:

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The integral $\int\frac{\sin\left(x\right)}{\cos\left(x\right)}dx$ results in: $-\ln\left(\cos\left(x\right)\right)$

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$-\ln\left(\cos\left(x\right)\right)$

Learn how to solve problems step by step online. Solve the trigonometric integral int((sin(x)+cos(x))/(cos(x))dx. The integral \int\frac{\sin\left(x\right)}{\cos\left(x\right)}dx results in: -\ln\left(\cos\left(x\right)\right). The integral \int1dx results in: x. Gather the results of all integrals. As the integral that we are solving is an indefinite integral, when we finish integrating we must add the constant of integration C.

** Final Answer

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