What is the integral from 0 to 25 of sqrt(y)+11 ?

The integral from 0 to 25 of sqrt(y)+11 is 1075/3

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integral from 0 to 25 of sqrt(y)+11

\int_{0}^{25} y + 11 d y

\frac{1075}{3}

Decimal Notation

358.33333 \dots

Solution steps

\int_{0}^{25} y + 11 d y

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}^{25} y d y + \int_{0}^{25} 11 d y

\int_{0}^{25} y d y = \frac{250}{3}

\int_{0}^{25} 11 d y = 275

= \frac{250}{3} + 275

Simplify

\frac{250}{3} + 275 : \frac{1075}{3}

= \frac{1075}{3}

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What is the integral from 0 to 25 of sqrt(y)+11 ?
The integral from 0 to 25 of sqrt(y)+11 is 1075/3