en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

integral of ln(ex)

Solution

\int ln (e x) d x

Solution

x ln (e x) - x + C

Solution steps

\int ln (e x) d x

Apply Integration By Parts

: x ln (e x) - \int 1 d x

= x ln (e x) - \int 1 d x

\int 1 d x = x

= x ln (e x) - x

Add a constant to the solution

= x ln (e x) - x + C

Popular Examples

limit as x approaches 1 of x^2-x+1

x \to 1 lim (x^{2} - x + 1)

integral of (x+2)^4

\int (x + 2)^{4} d x

derivative of (x^5-3x^2)

\frac{d}{d x} ((x^{5} - 3 x)^{2})

inverse oflaplace 5/(2s^2+3s+1)inverse laplace

\frac{5}{2 s ^{2} + 3 s + 1}

derivative of (2x+1)^3 derivative of

(2 x + 1)^{3}

Frequently Asked Questions (FAQ)

What is the integral of ln(ex) ?
The integral of ln(ex) is xln(ex)-x+C