What is the integral of (e^x)/3 ?

The integral of (e^x)/3 is 1/3 e^x+C

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

integral of (e^x)/3

\int \frac{e ^{x}}{3} d x

\frac{1}{3} e^{x} + C

Solution steps

\int \frac{e ^{x}}{3} d x

Take the constant out:

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

= \frac{1}{3} \cdot \int e^{x} d x

Use the common integral:

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

= \frac{1}{3} e^{x}

Add a constant to the solution

= \frac{1}{3} e^{x} + C

\int \frac{6 - e ^{x}}{e ^{5 x}} d x

e^{x}, e^{- 4 x}, 0, ln (4)

f (x) = 3 x^{5}

\frac{d}{d x} (e^{- x} - 1)

\int 5 x sin (x^{2}) d x