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Rewrite the trigonometric expression $\frac{1}{1-\sin\left(o\right)}$ inside the integral
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$\int\frac{1+\sin\left(o\right)}{1-\sin\left(o\right)^2}do$
Learn how to solve problems step by step online. Solve the trigonometric integral int(1/(1-sin(o)))do. Rewrite the trigonometric expression \frac{1}{1-\sin\left(o\right)} inside the integral. Applying the trigonometric identity: 1-\sin\left(\theta \right)^2 = \cos\left(\theta \right)^2. Expand the fraction \frac{1+\sin\left(o\right)}{\cos\left(o\right)^2} into 2 simpler fractions with common denominator \cos\left(o\right)^2. Expand the integral \int\left(\frac{1}{\cos\left(o\right)^2}+\frac{\sin\left(o\right)}{\cos\left(o\right)^2}\right)do into 2 integrals using the sum rule for integrals, to then solve each integral separately.