What is the integral from 0 to 36 of sqrt(x)+10 ?

The integral from 0 to 36 of sqrt(x)+10 is 504

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integral from 0 to 36 of sqrt(x)+10

\int_{0}^{36} x + 10 d x

504

Solution steps

\int_{0}^{36} x + 10 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}^{36} x d x + \int_{0}^{36} 10 d x

\int_{0}^{36} x d x = 144

\int_{0}^{36} 10 d x = 360

= 144 + 360

Simplify

= 504

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What is the integral from 0 to 36 of sqrt(x)+10 ?
The integral from 0 to 36 of sqrt(x)+10 is 504