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Popular >

integral of x^2 1/2

Solution

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

Solution

\frac{x ^{3}}{6} + C

Solution steps

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

Take the constant out:

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

= \frac{1}{2} \cdot \int x^{2} d x

Apply the Power Rule

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

= \frac{1}{2} \cdot \frac{x ^{3}}{3}

Simplify

\frac{1}{2} \cdot \frac{x ^{3}}{3} : \frac{x ^{3}}{6}

= \frac{x ^{3}}{6}

Add a constant to the solution

= \frac{x ^{3}}{6} + C

Popular Examples

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\int (π - x) sin (x) d x

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

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integral of x^2(3-x)

\int x^{2} (3 - x) d x

integral of (ln(x))/(x(ln(x)+1))

\int \frac{ln ( x )}{x ( ln ( x ) + 1 )} d x

Frequently Asked Questions (FAQ)

What is the integral of x^2 1/2 ?
The integral of x^2 1/2 is (x^3)/6+C