What is the integral from 2 to ln(x) of (e^t)/t ?

The integral from 2 to ln(x) of (e^t)/t is \Ei(ln(x))-\Ei(2)

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

integral from 2 to ln(x) of (e^t)/t

\int_{2}^{l n (x)} \frac{e ^{t}}{t} d t

Ei (ln (x)) - Ei (2)

Solution steps

\int_{2}^{l n (x)} \frac{e ^{t}}{t} d t

Use the nonelementary integral:

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

= [Ei (t)]_{2}^{l n (x)}

Compute the boundaries:

Ei (ln (x)) - Ei (2)

= Ei (ln (x)) - Ei (2)

\int_{0}^{4} \frac{4 x}{x ^{2} - 4} d x

\int_{- 2}^{2} t^{3} (1 + t^{4})^{3} d t

\int_{0}^{1} 1 + 4 t^{2} d t

\int_{1}^{2} \frac{1 + ln ( x )}{x} d x

\int_{4}^{3} sin (t) d t

What is the integral from 2 to ln(x) of (e^t)/t ?
The integral from 2 to ln(x) of (e^t)/t is \Ei(ln(x))-\Ei(2)