What is the integral of e^{0.6931x} ?

The integral of e^{0.6931x} is 1.44279…e^{0.6931x}+C

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

integral of e^{0.6931x}

\int e^{0.6931 x} d x

1.44279 \dots e^{0.6931 x} + C

Solution steps

\int e^{0.6931 x} d x

Apply u-substitution

: \int e^{u} \frac{1}{0.6931} d u

= \int e^{u} \frac{1}{0.6931} d u

Take the constant out:

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

= \frac{1}{0.6931} \cdot \int e^{u} d u

Simplify

= 1.44279 \dots \cdot \int e^{u} d u

Use the common integral:

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

= 1.44279 \dots e^{u}

Substitute back

u = 0.6931 x

= 1.44279 \dots e^{0.6931 x}

Add a constant to the solution

= 1.44279 \dots e^{0.6931 x} + C

\int \frac{9 x ^{2}}{2} d x

\int \frac{3 x ^{2} - 7 x - 24}{x - 2} d x

\int x^{3} (e^{x^{2}}) d x

\int \frac{A}{M A - A ^{2}}

\int 4 arctan (2 x) d x

What is the integral of e^{0.6931x} ?
The integral of e^{0.6931x} is 1.44279…e^{0.6931x}+C