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

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

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integral of (tan(x))/(sec(x))

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

- cos (x) + C

Solution steps

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

Express with sin, cos

= \int sin (x) d x

Use the common integral:

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

= - cos (x)

Add a constant to the solution

= - cos (x) + C

\frac{d}{d x} (\frac{2 x}{1 - tan ( x )})

y = 0, y = - x + 5, y = x + 1

- \frac{s - 2}{2 ( s ^{2} - 2 s + 2 )}

\int \frac{2 x}{x ^{2} + 1} d x

(12 - x) y^{2} = x^{3}, (6, 6)

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