en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

integral of-y^3

Solution

\int - y^{3} d y

Solution

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

Solution steps

\int - y^{3} d y

Take the constant out:

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

= - \int y^{3} d y

Apply the Power Rule

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

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

Add a constant to the solution

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

Popular Examples

derivative of 2e^x-5cos(x+3)

\frac{d}{d x} (2 e^{x} - 5 cos (x) + 3)

derivative of 4e^x+4/(\sqrt[3]{x)}derivative of

(\partial)/(\partial x)(-6y^3+10x^2-4xy)

\frac{\partial}{\partial x} (- 6 y^{3} + 10 x^{2} - 4 x y)

area y=7-2x^2,y=x^2+4 area

y = 7 - 2 x^{2}, y = x^{2} + 4

(\partial)/(\partial x)(e^{(-x)/(x^2+y^2)})

\frac{\partial}{\partial x} (e^{\frac{- x}{x ^{2} + y ^{2}}})

Frequently Asked Questions (FAQ)

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