What is the integral from 0 to 2 of x/2 ?

The integral from 0 to 2 of x/2 is 1

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integral from 0 to 2 of x/2

\int_{0}^{2} \frac{x}{2} d x

1

Solution steps

\int_{0}^{2} \frac{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_{0}^{2} x d x

Apply the Power Rule

= \frac{1}{2} [\frac{x ^{2}}{2}]_{0}^{2}

Compute the boundaries:

2

= \frac{1}{2} \cdot 2

Simplify

= 1