# Antiderivative of sin(-1)x

## Homework Statement

Find the antiderivative of $$\frac{1}{\sin\alpha}$$

## The Attempt at a Solution

Ugh, maybe it's just a temporary brainfreeze, but I have no idea how to go about it.

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Try rewriting the sine in terms of exponential functions. After a change of variables and partial fractions you should be able to integrate it.

Dick
Homework Helper

## Homework Statement

Find the antiderivative of $$\frac{1}{\sin\alpha}$$

## The Attempt at a Solution

Ugh, maybe it's just a temporary brainfreeze, but I have no idea how to go about it.
Maybe if you write that as $${\csc\alpha}$$ it will look more familiar.

dextercioby
$$\frac{1}{\sin x} = \frac{\sin x}{1-\cos^2 x}$$