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Rewrite the trigonometric expression $\frac{1}{\cos\left(x\right)-1}$ inside the integral
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$\int\frac{\cos\left(x\right)+1}{\cos\left(x\right)^2-1}dx$
Learn how to solve trigonometric integrals problems step by step online. Solve the trigonometric integral int(1/(cos(x)-1))dx. Rewrite the trigonometric expression \frac{1}{\cos\left(x\right)-1} inside the integral. Apply the trigonometric identity: -1+\cos\left(\theta \right)^2=-\sin\left(\theta \right)^2. Take the constant \frac{1}{-1} out of the integral. Expand the fraction \frac{\cos\left(x\right)+1}{\sin\left(x\right)^2} into 2 simpler fractions with common denominator \sin\left(x\right)^2.