What is the integral of (e^x)/(2x) ?

The integral of (e^x)/(2x) is 1/2 \Ei(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)/(2x)

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

\frac{1}{2} Ei (x) + C

Solution steps

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

Take the constant out:

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

= \frac{1}{2} \cdot \int \frac{e ^{x}}{x} d x

Use the nonelementary integral:

\int \frac{e ^{x}}{x} d x = Ei (x)

= \frac{1}{2} Ei (x)

Add a constant to the solution

= \frac{1}{2} Ei (x) + C

y^{^{''}} + 2 y^{^{'}} + 4 y = 5 sin (t)

\int (- x^{2} - 3 x + 6)^{2} d x

y^{^{''}} - 5 y^{^{'}} + 6 y = 0, y (0) = 0, y^{^{'}} (0) = 0

\frac{2 ^{x}}{3 x - 1}

n = 1 \sum \infty \frac{5 n ln ( n )}{6 ^{n}}