What is the integral from 1200 to 1210 of 0.1x^2 ?

The integral from 1200 to 1210 of 0.1x^2 is 1452033.33333…

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integral from 1200 to 1210 of 0.1x^2

\int_{1200}^{1210} 0.1 x^{2} d x

1452033.33333 \dots

Solution steps

\int_{1200}^{1210} 0.1 x^{2} d x

Take the constant out:

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

= 0.1 \cdot \int_{1200}^{1210} x^{2} d x

Apply the Power Rule

: [\frac{x ^{3}}{3}]_{1200}^{1210}

= 0.1 [\frac{x ^{3}}{3}]_{1200}^{1210}

Simplify

= 0.1 [0.33333 \dots x^{3}]_{1200}^{1210}

Compute the boundaries:

14520333.33333 \dots

= 0.1 \cdot 14520333.33333 \dots

Simplify

= 1452033.33333 \dots

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What is the integral from 1200 to 1210 of 0.1x^2 ?
The integral from 1200 to 1210 of 0.1x^2 is 1452033.33333…