What is the integral of 1/(sec(x)) ?

The integral of 1/(sec(x)) is sin(x)+C

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integral of 1/(sec(x))

\int \frac{1}{sec ( x )} d x

sin (x) + C

Solution steps

\int \frac{1}{sec ( x )} d x

Rewrite using trig identities

= \int cos (x) d x

Use the common integral:

\int cos (x) d x = sin (x)

= sin (x)

Add a constant to the solution

= sin (x) + C

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\frac{\partial}{\partial x} (e^{6 x})

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\frac{\partial}{\partial x} (y^{4} e^{- x})

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