## Final Answer

## Step-by-step Solution

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We can solve the integral $\int\frac{1}{1-\sin\left(o\right)}do$ by applying the method Weierstrass substitution (also known as tangent half-angle substitution) which converts an integral of trigonometric functions into a rational function of $t$ by setting the substitution

Learn how to solve definite integrals problems step by step online.

$t=\tan\left(\frac{o}{2}\right)$

Learn how to solve definite integrals problems step by step online. Integrate the function 1/(1-sin(o)) from 0 to 1. We can solve the integral \int\frac{1}{1-\sin\left(o\right)}do by applying the method Weierstrass substitution (also known as tangent half-angle substitution) which converts an integral of trigonometric functions into a rational function of t by setting the substitution. Hence. Substituting in the original integral we get. Simplifying.