# 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.

## Answers and Replies

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
Science Advisor
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
Science Advisor
Homework Helper
$$\frac{1}{\sin x} = \frac{\sin x}{1-\cos^2 x}$$

is a useful thing to know.