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

The integral of (cos(x))^{-2} is tan(x)+C

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

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

tan (x) + C

Solution steps

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

Simplify

(cos (x))^{- 2} : sec^{2} (x)

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

Use the common integral:

\int sec^{2} (x) d x = tan (x)

= tan (x)

Add a constant to the solution

= tan (x) + C

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