Now evaluate the following integrals.$\int \frac{1}{\csc x} d x$

Now evaluate the following integrals.$\int\left(x-\frac{2}{\cos ^{2} x}\right) d x$

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Now evaluate the following integrals.$\int\left(1+\cos ^{2} x \sec x\right) d x$

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Evaluate each of the following integrals by $u$ -substitution.$$\int \tan \left(\frac{x}{2}\right) \sec ^{2}\left(\frac{x}{2}\right) d x$$

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Evaluate each of the following integrals by $u$ -substitution.

$$

\int \tan \left(\frac{x}{2}\right) \sec ^{2}\left(\frac{x}{2}\right) d x

$$