en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular Calculus >

integral of 1/100 x

Solution

\int \frac{1}{100} x d x

Solution

\frac{x ^{2}}{200} + C

Solution steps

\int \frac{1}{100} x d x

Take the constant out:

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

= \frac{1}{100} \cdot \int x d x

Apply the Power Rule

= \frac{1}{100} \cdot \frac{x ^{2}}{2}

Simplify

\frac{1}{100} \cdot \frac{x ^{2}}{2} : \frac{x ^{2}}{200}

= \frac{x ^{2}}{200}

Add a constant to the solution

= \frac{x ^{2}}{200} + C

Graph

Popular Examples

integral of (2tan(x))/(cos(2x))

\int \frac{2 tan ( x )}{cos ( 2 x )} d x

integral of x^5+7sqrt(x)

\int x^{5} + 7 x d x

integral of (x^2+47)/(x^2+49)

\int \frac{x ^{2} + 47}{x ^{2} + 49} d x

integral of sin(x)e^{-3x}

\int sin (x) e^{- 3 x} d x

integral of (x^2+2x-1)/(x^3+x^2+x+1)

\int \frac{x ^{2} + 2 x - 1}{x ^{3} + x ^{2} + x + 1} d x

Frequently Asked Questions (FAQ)

What is the integral of 1/100 x ?
The integral of 1/100 x is (x^2)/(200)+C