en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular Calculus >

integral of y/2

Solution

\int \frac{y}{2} d y

Solution

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

Solution steps

\int \frac{y}{2} d y

Take the constant out:

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

= \frac{1}{2} \cdot \int y d y

Apply the Power Rule

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

Simplify

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

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

Add a constant to the solution

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

Graph

Popular Examples

derivative of f(x)=5xsqrt(2)

integral of 17(tan(x))(ln(cos(x)))

integral of 9/(16+25r^2)

derivative of (x+2(3x^2-4)^2)

derivative of cos(3x3)

Frequently Asked Questions (FAQ)

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