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Popular >

integral of (u^2)/2

Solution

\int \frac{u ^{2}}{2} d u

Solution

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

Solution steps

\int \frac{u ^{2}}{2} d u

Take the constant out:

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

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

Apply the Power Rule

: \frac{u ^{3}}{3}

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

Simplify

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

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

Add a constant to the solution

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

Graph

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\int (5 - 4 x)^{5} d x

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\int \frac{d}{1} (sec (x)) d x

integral of (5x^2+7x+6)/(x^2+x+1)

\int \frac{5 x ^{2} + 7 x + 6}{x ^{2} + x + 1} d x

Frequently Asked Questions (FAQ)

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