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Expand the fraction $\frac{1-\sin\left(x\right)}{\cos\left(x\right)}$ into $2$ simpler fractions with common denominator $\cos\left(x\right)$
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$\int\left(\frac{1}{\cos\left(x\right)}+\frac{-\sin\left(x\right)}{\cos\left(x\right)}\right)dx$
Learn how to solve trigonometric integrals problems step by step online. Solve the trigonometric integral int((1-sin(x))/cos(x))dx. Expand the fraction \frac{1-\sin\left(x\right)}{\cos\left(x\right)} into 2 simpler fractions with common denominator \cos\left(x\right). 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{\sin\left(x\right)}{\cos\left(x\right)}dx results in: \ln\left(\cos\left(x\right)\right).