What is the integral of e^{2+x} ?

The integral of e^{2+x} is e^{2+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^{2+x}

integral

e^{2 + x}

e^{2 + x} + C

Solution steps

\int e^{2 + x} d x

e^{2 + x} = e^{2} e^{x}

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

Take the constant out:

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

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

Use the common integral:

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

= e^{2} e^{x}

Apply exponent rule:

a^{b} \cdot a^{c} = a^{b + c}

e^{2} e^{x} = e^{2 + x}

= e^{2 + x}

Add a constant to the solution

= e^{2 + x} + C

- 2 sec^{2} (x)

sin^{7} (x)

\frac{( x + 5 )}{( x ^{2} + 8 x + 17 )}

- 3 y^{2}

- 2 e^{- x}