What is the integral of sin^{-2}(x) ?

The integral of sin^{-2}(x) is -cot(x)+C

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integral of sin^{-2}(x)

\int sin^{- 2} (x) d x

- cot (x) + C

Solution steps

\int sin^{- 2} (x) d x

Simplify

sin^{- 2} (x) : csc^{2} (x)

= \int csc^{2} (x) d x

Use the common integral:

\int csc^{2} (x) d x = - cot (x)

= - cot (x)

Add a constant to the solution

= - cot (x) + C

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