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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

(\partial)/(\partial x)((x+y)^3)

\frac{\partial}{\partial x} ((x + y)^{3})

(\partial)/(\partial x)(x^2yz-xyz^3)

\frac{\partial}{\partial x} (x^{2} yz - x y z^{3})

area y=7x,y=x^2-8 area

y = 7 x, y = x^{2} - 8

derivative of f(x)=sqrt(x/(x+9))derivative of

f (x) = \frac{x}{x + 9}

derivative of 2e^x-2

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

Frequently Asked Questions (FAQ)

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