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Popular >

integral of (4x^2)

Solution

\int (4 x^{2}) d x

Solution

\frac{4 x ^{3}}{3} + C

Solution steps

\int 4 x^{2} d x

Take the constant out:

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

= 4 \cdot \int x^{2} d x

Apply the Power Rule

: \frac{x ^{3}}{3}

= 4 \cdot \frac{x ^{3}}{3}

Multiply fractions:

a \cdot \frac{b}{c} = \frac{a \cdot b}{c}

= \frac{4 x ^{3}}{3}

Add a constant to the solution

= \frac{4 x ^{3}}{3} + C

Popular Examples

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y = 13 x, y = x^{2}

integral of ((2+sqrt(x)+x))/x

\int \frac{( 2 + x + x )}{x} d x

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\int \frac{1}{7 ( x ^{2} + 1 )} d x

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\frac{d}{d x} ((x^{3} + 7)^{6})

(\partial)/(\partial x)(x^2+y^2-2xy)

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

Frequently Asked Questions (FAQ)

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