What is the integral from 2 to x of t ?

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

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integral from 2 to x of t

\int_{2}^{x} t d t

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

Solution steps

\int_{2}^{x} t d t

Apply the Power Rule

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

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

Compute the boundaries:

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

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

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