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Antiderivative of sin(-1)x

  • Thread starter kristo
  • Start date
  • #1
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Homework Statement



Find the antiderivative of [tex]\frac{1}{\sin\alpha}[/tex]

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.
 

Answers and Replies

  • #2
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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.
 
  • #3
Dick
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Homework Helper
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Homework Statement



Find the antiderivative of [tex]\frac{1}{\sin\alpha}[/tex]

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 [tex]{\csc\alpha}[/tex] it will look more familiar.
 
  • #4
dextercioby
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[tex] \frac{1}{\sin x} = \frac{\sin x}{1-\cos^2 x} [/tex]

is a useful thing to know.
 

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