Final Answer
$-\ln\left(\cos\left(x\right)\right)+x+C_0$
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Step-by-step Solution
Problem to solve:
$\int\frac{\sin\left(x\right)+\cos\left(x\right)}{\cos\left(x\right)}dx$
Specify the solving method
1
The integral $\int\frac{\sin\left(x\right)}{\cos\left(x\right)}dx$ results in: $-\ln\left(\cos\left(x\right)\right)$
$-\ln\left(\cos\left(x\right)\right)$
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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
$-\ln\left(\cos\left(x\right)\right)+x+C_0$