What is the integral from 0 to 1.4 of (2x)/9 ?

The integral from 0 to 1.4 of (2x)/9 is 0.21777…

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integral from 0 to 1.4 of (2x)/9

\int_{0}^{1.4} \frac{2 x}{9} d x

0.21777 \dots

Solution steps

\int_{0}^{1.4} \frac{2 x}{9} d x

Take the constant out:

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

= \frac{2}{9} \cdot \int_{0}^{1.4} x d x

Apply the Power Rule

: [\frac{x ^{2}}{2}]_{0}^{1.4}

= \frac{2}{9} [\frac{x ^{2}}{2}]_{0}^{1.4}

Simplify

= 0.22222 \dots [0.5 x^{2}]_{0}^{1.4}

Compute the boundaries:

0.98

= 0.22222 \dots \cdot 0.98

Simplify

= 0.21777 \dots

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What is the integral from 0 to 1.4 of (2x)/9 ?
The integral from 0 to 1.4 of (2x)/9 is 0.21777…