What is the integral from 1 to x of x ?

The integral from 1 to x of x is (x^2-1)/2

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integral from 1 to x of x

\int_{1}^{x} x d x

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

Solution steps

\int_{1}^{x} x d x

Apply the Power Rule

: [\frac{x ^{2}}{2}]_{1}^{x}

= [\frac{x ^{2}}{2}]_{1}^{x}

Compute the boundaries:

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

= \frac{x ^{2}}{2} - \frac{1}{2}

Simplify

= \frac{x ^{2} - 1}{2}

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What is the integral from 1 to x of x ?
The integral from 1 to x of x is (x^2-1)/2