en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

integral of x/(20)

Solution

\int \frac{x}{20} d x

Solution

\frac{x ^{2}}{40} + C

Solution steps

\int \frac{x}{20} d x

Take the constant out:

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

= \frac{1}{20} \cdot \int x d x

Apply the Power Rule

: \frac{x ^{2}}{2}

= \frac{1}{20} \cdot \frac{x ^{2}}{2}

Simplify

\frac{1}{20} \cdot \frac{x ^{2}}{2} : \frac{x ^{2}}{40}

= \frac{x ^{2}}{40}

Add a constant to the solution

= \frac{x ^{2}}{40} + C

Popular Examples

integral of sec(2-x)tan(2-x)

\int sec (2 - x) tan (2 - x) d x

integral of (x^4+1)/((x-1)(x^2+1))

\int \frac{x ^{4} + 1}{( x - 1 ) ( x ^{2} + 1 )} d x

integral of (-9)/(xsqrt(x+1))

\int \frac{- 9}{x x + 1} d x

integral of (3x)/(sqrt(7-25x^4))

\int \frac{3 x}{7 - 25 x ^{4}} d x

integral of sqrt(x^2+y)

\int x^{2} + y d x

Frequently Asked Questions (FAQ)

What is the integral of x/(20) ?
The integral of x/(20) is (x^2)/(40)+C