What is the Antiderivative of Inverse Sine of x?

[kristo]

Homework Statement

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

Homework Equations

The Attempt at a Solution

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

 

[betel]

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 Statement

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

Homework Equations

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}

is a useful thing to know.