en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

integral of 2y^3

Solution

\int 2 y^{3} d y

Solution

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

Solution steps

\int 2 y^{3} d y

Take the constant out:

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

= 2 \cdot \int y^{3} d y

Apply the Power Rule

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

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

Simplify

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

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

Add a constant to the solution

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

Graph

Popular Examples

derivative of 1/2 (2(7.5)+1)^{-1/2}derivative of

\frac{1}{2} (2 (7.5) + 1)^{- \frac{1}{2}}

area 2-x^2,6-5x area

2 - x^{2}, 6 - 5 x

derivative of (sin(7x)^{ln(x)})

\frac{d}{d x} ((sin (7 x))^{l n (x)})

derivative of 1-e^{-x/3}

\frac{d}{d x} (1 - e^{- \frac{x}{3}})

(\frac{5}{x ^{5}})^{^{'}}

Frequently Asked Questions (FAQ)

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