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Popular >

integral of 4x^2

Solution

integral

4 x^{2}

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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\int sin^{7} (x) cos^{10} (x) d x

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\int x \cdot (2 x + 5)^{10} d x

integral of cos^2((pix)/2)

\int cos^{2} (\frac{π x}{2}) d x

integral of (x^2+2)/(x^3-x)

\int \frac{x ^{2} + 2}{x ^{3} - x} d x

integral of (esin^2(x)+3e^x+ecos^2(x))

\int (e sin^{2} (x) + 3 e^{x} + e cos^{2} (x)) d x

Frequently Asked Questions (FAQ)

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