What is the integral from 5.5 to 10 of (1/2 x)+5.5 ?

The integral from 5.5 to 10 of (1/2 x)+5.5 is 42.1875

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integral from 5.5 to 10 of (1/2 x)+5.5

\int_{5.5}^{10} (\frac{1}{2} x) + 5.5 d x

42.1875

Solution steps

\int_{5.5}^{10} \frac{1}{2} x + 5.5 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_{5.5}^{10} \frac{1}{2} x d x + \int_{5.5}^{10} 5.5 d x

\int_{5.5}^{10} \frac{1}{2} x d x = 17.4375

\int_{5.5}^{10} 5.5 d x = 24.75

= 17.4375 + 24.75

Simplify

= 42.1875

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What is the integral from 5.5 to 10 of (1/2 x)+5.5 ?
The integral from 5.5 to 10 of (1/2 x)+5.5 is 42.1875