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 (1-6ln(x)/(x^7))

\frac{d}{d x} (\frac{1 - 6 ln ( x )}{x ^{7}})

derivative of (sin(x)^{1/x})

\frac{d}{d x} ((sin (x))^{\frac{1}{x}})

derivative of x^{-6}derivative of

x^{- 6}

sum from n=1 to infinity}(-1)^{n+1 of (1/n+1/(3^n))

n = 1 \sum \infty (- 1)^{n + 1} (\frac{1}{n} + \frac{1}{3 ^{n}})

(\partial)/(\partial x)(1/(1-x))

\frac{\partial}{\partial x} (\frac{1}{1 - x})

Frequently Asked Questions (FAQ)

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