What is the integral from 2 to 4.5 of x/(18) ?

The integral from 2 to 4.5 of x/(18) is 0.45138…

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integral from 2 to 4.5 of x/(18)

\int_{2}^{4.5} \frac{x}{18} d x

0.45138 \dots

Solution steps

\int_{2}^{4.5} \frac{x}{18} d x

Take the constant out:

\int a \cdot f (x) d x = a \cdot \int f (x) d x

= \frac{1}{18} \cdot \int_{2}^{4.5} x d x

Apply the Power Rule

: [\frac{x ^{2}}{2}]_{2}^{4.5}

= \frac{1}{18} [\frac{x ^{2}}{2}]_{2}^{4.5}

Simplify

= 0.05555 \dots [0.5 x^{2}]_{2}^{4.5}

Compute the boundaries:

8.125

= 0.05555 \dots \cdot 8.125

Simplify

= 0.45138 \dots

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What is the integral from 2 to 4.5 of x/(18) ?
The integral from 2 to 4.5 of x/(18) is 0.45138…