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

The integral of (sec(x))/(cos(x)) is tan(x)+C

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integral of (sec(x))/(cos(x))

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

tan (x) + C

Solution steps

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

Rewrite using trig identities

= \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

What is the integral of (sec(x))/(cos(x)) ?
The integral of (sec(x))/(cos(x)) is tan(x)+C