What is the integral of (2sec^2(x)) ?

The integral of (2sec^2(x)) is 2tan(x)+C

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

integral of (2sec^2(x))

\int (2 sec^{2} (x)) d x

2 tan (x) + C

Solution steps

\int 2 sec^{2} (x) d x

Take the constant out:

\int a \cdot f (x) d x = a \cdot \int f (x) d x

= 2 \cdot \int sec^{2} (x) d x

Use the common integral:

\int sec^{2} (x) d x = tan (x)

= 2 tan (x)

Add a constant to the solution

= 2 tan (x) + C

\int \frac{6}{x ( x ^{2} + 4 ) ^{2}} d x

\frac{d ^{2}}{d x ^{2}} (e^{x} cos (x))

x \frac{d y}{d x} + (1 + x) y = \frac{sin ( 2 x )}{e ^{x}}

\frac{x d y}{d x} + 4 y = x^{3} - x

(e^{3 x} cos (2 x))^{^{'}}