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Popular >

integral of 1/2 x^2

Solution

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

Solution

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

Solution steps

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

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x \to - 2 lim (- 2)

integral of (3y)/((2+3y^2)^3)

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Frequently Asked Questions (FAQ)

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