What is the integral of e^{x+5} ?

The integral of e^{x+5} is e^{5+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+5}

\int e^{x + 5} d x

e^{5 + x} + C

Solution steps

\int e^{x + 5} d x

e^{x + 5} = e^{5} e^{x}

= \int e^{5} e^{x} d x

Take the constant out:

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

= e^{5} \cdot \int e^{x} d x

Use the common integral:

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

= e^{5} e^{x}

Apply exponent rule:

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

e^{5} e^{x} = e^{5 + x}

= e^{5 + x}

Add a constant to the solution

= e^{5 + x} + C

\frac{d}{d x} (\frac{tan ( \frac{x}{2} ) + cot ( \frac{x}{2} )}{x})

\frac{d}{d x} (\frac{∣ x - 2 ∣}{x ^{2}})

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

\int_{- 3}^{5} 6 - y - \frac{( y - 3 ) ^{2}}{4} d y

f (x) = 7 tan^{3} (x)