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

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

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integral of (sin(x))^{-2}

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

- cot (x) + C

Solution steps

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

Simplify

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

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