en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

integral of 1/(xInx)

Solution

\int \frac{1}{x I n x} d x

Solution

- \frac{1}{I n x} + C

Solution steps

\int \frac{1}{x I n x} d x

Take the constant out:

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

= \frac{1}{I n} \cdot \int \frac{1}{xx} d x

xx = x^{2}

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

Apply the Power Rule

: - \frac{1}{x}

= \frac{1}{I n} (- \frac{1}{x})

Simplify

\frac{1}{I n} (- \frac{1}{x}) : - \frac{1}{I n x}

= - \frac{1}{I n x}

Add a constant to the solution

= - \frac{1}{I n x} + C

Graph

Popular Examples

derivative of x^2-6x+11

\frac{d}{d x} (x^{2} - 6 x + 11)

sum from n=0 to infinity of 1/(n!)

n = 0 \sum \infty \frac{1}{n !}

integral of (x^{1/4})

\int (x^{\frac{1}{4}}) d x

integral from 0 to 3 of 5

\int_{0}^{3} 5 d x

derivative of 4/(sqrt(3x+9))derivative of

\frac{4}{3 x + 9}

Frequently Asked Questions (FAQ)

What is the integral of 1/(xInx) ?
The integral of 1/(xInx) is -1/(Inx)+C