Final Answer
$-\ln\left(\cos\left(x\right)\right)+C_0$
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Step-by-step Solution
Problem to solve:
$\int\frac{\sin\left(x\right)}{\cos\left(x\right)}dx$
Specify the solving method
1
Simplify $\tan\left(x\right)$ by applying trigonometric identities
$\int\tan\left(x\right)dx$
Learn how to solve trigonometric integrals problems step by step online.
$\int\tan\left(x\right)dx$
Learn how to solve trigonometric integrals problems step by step online. Solve the trigonometric integral int((sin(x)/(cos(x))dx. Simplify \tan\left(x\right) by applying trigonometric identities. The integral of the tangent function is given by the following formula, \displaystyle\int\tan(x)dx=-\ln(\cos(x)). 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
$-\ln\left(\cos\left(x\right)\right)+C_0$