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Popular >

integral from 0 to 5 of u^2+u+1

Solution

\int_{0}^{5} u^{2} + u + 1 d u

Solution

\frac{355}{6}

+1

Decimal

59.16666 \dots

Solution steps

\int_{0}^{5} u^{2} + u + 1 d u

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} u^{2} d u + \int_{0}^{5} u d u + \int_{0}^{5} 1 d u

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

\int_{0}^{5} u d u = \frac{25}{2}

\int_{0}^{5} 1 d u = 5

= \frac{125}{3} + \frac{25}{2} + 5

Simplify

\frac{125}{3} + \frac{25}{2} + 5 : \frac{355}{6}

= \frac{355}{6}

Graph

Popular Examples

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\int_{0}^{\infty} e^{- (x)} d x

integral from 0 to 5 of te^{-0.3t}

\int_{0}^{5} t e^{- 0.3 t} d t

integral from 0 to 5 of sqrt(x-1)

\int_{0}^{5} x - 1 d x

integral from 0 to 2 of x-(x^2)/2

\int_{0}^{2} x - \frac{x ^{2}}{2} d x

integral from 2 to 6 of 5/x-(10)/(x^2)

\int_{2}^{6} \frac{5}{x} - \frac{10}{x ^{2}} d x

Frequently Asked Questions (FAQ)

What is the integral from 0 to 5 of u^2+u+1 ?
The integral from 0 to 5 of u^2+u+1 is 355/6