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

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

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integral of cos^{-2}(x)

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

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

\int \frac{y - 3}{y - 2} d y

\int e^{x + 4} d x

y^{^{'}} = (x + y)^{2} - 1

\frac{2}{s ^{2} ( s ^{2} + 3 s + 10 )}

tan (f (x)) (x) = - 4 x + \frac{1}{2} x - 5, at x = 1