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Popular Calculus >

integral of cos^{-2}(x)

Solution

integral

cos^{- 2} (x)

Solution

tan (x) + C

Solution steps

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

Simplify

cos^{- 2} (x) : 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

Graph

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Frequently Asked Questions (FAQ)

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