What is the integral from 1 to 2 of 1/2 x ?

The integral from 1 to 2 of 1/2 x is 3/4

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integral from 1 to 2 of 1/2 x

\int_{1}^{2} \frac{1}{2} x d x

\frac{3}{4}

Decimal

0.75

Solution steps

\int_{1}^{2} \frac{1}{2} x 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_{1}^{2} x d x

Apply the Power Rule

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

Compute the boundaries:

\frac{3}{2}

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

Simplify

= \frac{3}{4}

What is the integral from 1 to 2 of 1/2 x ?
The integral from 1 to 2 of 1/2 x is 3/4