What is the integral of sqrt(2)e^t ?

The integral of sqrt(2)e^t is sqrt(2)e^t+C

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

integral of sqrt(2)e^t

\int 2 e^{t} d t

2 e^{t} + C

Solution steps

\int 2 e^{t} d t

Take the constant out:

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

= 2 \cdot \int e^{t} d t

Use the common integral:

\int e^{t} d t = e^{t}

= 2 e^{t}

Add a constant to the solution

= 2 e^{t} + C