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Popular Calculus >

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

= 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

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\frac{d}{d x} (\frac{x ^{2}}{x ^{2} - 36})

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\int \frac{1}{x ^{2} - 5} d x

integral of-12x

\int - 12 x d x

integral of 2t^3(t^4-3)^5

\int 2 t^{3} (t^{4} - 3)^{5} d t

derivative of g(x)=(arcsin(3x))/x derivative of

g (x) = \frac{arcsin ( 3 x )}{x}

Frequently Asked Questions (FAQ)

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