en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular Calculus >

integral of+(4y)/1

Solution

\int + \frac{4 y}{1} d y

Solution

2 y^{2} + C

Solution steps

\int \frac{4 y}{1} d y

Take the constant out:

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

= 4 \cdot \int y d y

Apply the Power Rule

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

Simplify

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

= 2 y^{2}

Add a constant to the solution

= 2 y^{2} + C

Graph

Popular Examples

integral of (1/(6x^3))

derivative of (x-4*ln(x/4))

(dx)/(dt)=x(100-x)

area y=3sqrt(x),y=3x

Frequently Asked Questions (FAQ)

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