en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

integral of-3y^2

Solution

integral

- 3 y^{2}

Solution

- y^{3} + C

Solution steps

\int - 3 y^{2} d y

Take the constant out:

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

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

Apply the Power Rule

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

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

Simplify

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

= - y^{3}

Add a constant to the solution

= - y^{3} + C

Popular Examples

integral of-2e^{-x}integral

- 2 e^{- x}

integral of e^2x+1 integral

e^{2} x + 1

integral of e^{(-2r)/a}integral

e^{\frac{- 2 r}{a}}

integral of ((1+x))/((1-x)^2)integral

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

integral of 1/((x^2+a))integral

\frac{1}{( x ^{2} + a )}

Frequently Asked Questions (FAQ)

What is the integral of-3y^2 ?
The integral of-3y^2 is -y^3+C