en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular Calculus >

integral of (x^1)/2

Solution

integral

\frac{x ^{1}}{2}

Solution

\frac{x ^{2}}{4} + C

Solution steps

\int \frac{x ^{1}}{2} d x

Take the constant out:

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

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

Apply the Power Rule

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

Simplify

\frac{1}{2} \cdot \frac{x ^{2}}{2} : \frac{x ^{2}}{4}

= \frac{x ^{2}}{4}

Add a constant to the solution

= \frac{x ^{2}}{4} + C

Graph

Popular Examples

integral of 1/(\sqrt[4]{x^3)+sqrt(x)}

integral of (cos(2x))/(sin^4(2x))

integral of (6x^3+1/(5x^7)-4)

integral of 6/((x-2)^2)

integral of (8x(8-3x^2)^{1/3})/3

Frequently Asked Questions (FAQ)

What is the integral of (x^1)/2 ?
The integral of (x^1)/2 is (x^2)/4+C