en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

integral of 5/(5x)

Solution

\int \frac{5}{5 x} d x

Solution

ln ∣ x ∣ + C

Solution steps

\int \frac{5}{5 x} d x

Simplify

= \int \frac{1}{x} d x

Use the common integral:

\int \frac{1}{x} d x = ln (∣ x ∣)

= ln ∣ x ∣

Add a constant to the solution

= ln ∣ x ∣ + C

Popular Examples

integral of (x+3)/(x^3+x^2-2x)

\int \frac{x + 3}{x ^{3} + x ^{2} - 2 x} d x

integral of (1+x^2)^{0.5}

\int (1 + x^{2})^{0.5} d x

integral of 4cos^4(θ)

\int 4 cos^{4} (θ) d θ

integral of (xsqrt(x)+1/(xsqrt(x)))

\int (x x + \frac{1}{x x}) d x

integral of 3tsqrt(16-t^2)

\int 3 t 16 - t^{2} d t

Frequently Asked Questions (FAQ)

What is the integral of 5/(5x) ?
The integral of 5/(5x) is ln|x|+C