en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

integral of 4y^2

Solution

\int 4 y^{2} d y

Solution

\frac{4 y ^{3}}{3} + C

Solution steps

\int 4 y^{2} d y

Take the constant out:

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

= 4 \cdot \int y^{2} d y

Apply the Power Rule

: \frac{y ^{3}}{3}

= 4 \cdot \frac{y ^{3}}{3}

Multiply fractions:

a \cdot \frac{b}{c} = \frac{a \cdot b}{c}

= \frac{4 y ^{3}}{3}

Add a constant to the solution

= \frac{4 y ^{3}}{3} + C

Graph

Popular Examples

derivative of (x^2/(x^2-36))

\frac{d}{d x} (\frac{x ^{2}}{x ^{2} - 36})

integral of 1/(sqrt(x^2-5))

\int \frac{1}{x ^{2} - 5} d x

sum from n=1 to infinity of 5

n = 1 \sum \infty 5

(\partial)/(\partial y)(x^3yze^z)

\frac{\partial}{\partial y} (x^{3} yz e^{z})

integral of-12x

\int - 12 x d x

Frequently Asked Questions (FAQ)

What is the integral of 4y^2 ?
The integral of 4y^2 is (4y^3)/3+C