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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

integral from 0 to 3 of piy^{2/3}

\int_{0}^{3} π y^{\frac{2}{3}} d y

integral from 2x to x^5 of e^{-t^2}

\int_{2 x}^{x^{5}} e^{- t^{2}} d t

integral from 1 to 3 of (x^3+4x)/(x^5)

\int_{1}^{3} \frac{x ^{3} + 4 x}{x ^{5}} d x

integral from 0 to 1 of (2x^2+4x+1)

\int_{0}^{1} (2 x^{2} + 4 x + 1) d x

integral from 0 to 2pi of sin(x)sin(x)

\int_{0}^{2 π} sin (x) sin (x) 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