What is the integral from 0 to 1.3 of 1/6 x ?

The integral from 0 to 1.3 of 1/6 x is 0.14083…

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integral from 0 to 1.3 of 1/6 x

\int_{0}^{1.3} \frac{1}{6} x d x

0.14083 \dots

Solution steps

\int_{0}^{1.3} \frac{1}{6} x d x

Take the constant out:

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

= \frac{1}{6} \cdot \int_{0}^{1.3} x d x

Apply the Power Rule

: [\frac{x ^{2}}{2}]_{0}^{1.3}

= \frac{1}{6} [\frac{x ^{2}}{2}]_{0}^{1.3}

Simplify

= 0.16666 \dots [0.5 x^{2}]_{0}^{1.3}

Compute the boundaries:

0.845

= 0.16666 \dots \cdot 0.845

Simplify

= 0.14083 \dots

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What is the integral from 0 to 1.3 of 1/6 x ?
The integral from 0 to 1.3 of 1/6 x is 0.14083…