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Popular >

integral from 0 to 5 of (x^2+5)

Solution

\int_{0}^{5} (x^{2} + 5) d x

Solution

\frac{200}{3}

+1

Decimal

66.66666 \dots

Solution steps

\int_{0}^{5} x^{2} + 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_{0}^{5} x^{2} d x + \int_{0}^{5} 5 d x

\int_{0}^{5} x^{2} d x = \frac{125}{3}

\int_{0}^{5} 5 d x = 25

= \frac{125}{3} + 25

Simplify

\frac{125}{3} + 25 : \frac{200}{3}

= \frac{200}{3}

Graph

Popular Examples

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\int_{2}^{5} \frac{5}{x} d x

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\int_{0}^{1} \frac{1}{x ( x + 1 )} d x

integral from-2 to-2 of 1

\int_{- 2}^{- 2} 1

integral from 0 to 4 of (x^2)^2

\int_{0}^{4} (x^{2})^{2} d x

Frequently Asked Questions (FAQ)

What is the integral from 0 to 5 of (x^2+5) ?
The integral from 0 to 5 of (x^2+5) is 200/3