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

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

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

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

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

sin (x) + C

Solution steps

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

Simplify

\frac{tan ( x )}{sec ( x ) tan ( x )} : cos (x)

= \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

\int_{1}^{5} (2 x - 1)^{\frac{5}{2}} d x

\int 15 x e^{x^{2}} d x

\frac{d}{d x} (ln (\frac{2 x}{x + 9}))

x \to 0 - lim (x + 1)

b

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