What is the integral from 0 to 11 of 5+0.25x^2 ?

The integral from 0 to 11 of 5+0.25x^2 is 165.91666…

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integral from 0 to 11 of 5+0.25x^2

\int_{0}^{11} 5 + 0.25 x^{2} d x

165.91666 \dots

Solution steps

\int_{0}^{11} 5 + 0.25 x^{2} d x

Apply the Sum Rule:

\int f (x) \pm g (x) d x = \int f (x) d x \pm \int g (x) d x

= \int_{0}^{11} 5 d x + \int_{0}^{11} 0.25 x^{2} d x

\int_{0}^{11} 5 d x = 55

\int_{0}^{11} 0.25 x^{2} d x = 110.91666 \dots

= 55 + 110.91666 \dots

Simplify

= 165.91666 \dots

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What is the integral from 0 to 11 of 5+0.25x^2 ?
The integral from 0 to 11 of 5+0.25x^2 is 165.91666…