What is the integral from 0 to n of x ?

The integral from 0 to n of x is (n^2)/2

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integral from 0 to n of x

\int_{0}^{n} x d x

\frac{n ^{2}}{2}

Solution steps

\int_{0}^{n} x d x

Apply the Power Rule

= [\frac{x ^{2}}{2}]_{0}^{n}

Compute the boundaries:

\frac{n ^{2}}{2}

= \frac{n ^{2}}{2}

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What is the integral from 0 to n of x ?
The integral from 0 to n of x is (n^2)/2