What is the integral from 1.4 to 1.9 of 1/2 x ?

The integral from 1.4 to 1.9 of 1/2 x is 0.4125

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integral from 1.4 to 1.9 of 1/2 x

\int_{1.4}^{1.9} \frac{1}{2} x d x

0.4125

Solution steps

\int_{1.4}^{1.9} \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_{1.4}^{1.9} x d x

Apply the Power Rule

: [\frac{x ^{2}}{2}]_{1.4}^{1.9}

= \frac{1}{2} [\frac{x ^{2}}{2}]_{1.4}^{1.9}

Simplify

= 0.5 [0.5 x^{2}]_{1.4}^{1.9}

Compute the boundaries:

0.825

= 0.5 \cdot 0.825

Simplify

= 0.4125

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What is the integral from 1.4 to 1.9 of 1/2 x ?
The integral from 1.4 to 1.9 of 1/2 x is 0.4125