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Popular >

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

Solution

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

Solution

\frac{22}{3}

+1

Decimal

7.33333 \dots

Solution steps

\int_{0}^{2} 5 - x^{2} 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}^{2} 5 d x - \int_{0}^{2} x^{2} d x

\int_{0}^{2} 5 d x = 10

\int_{0}^{2} x^{2} d x = \frac{8}{3}

= 10 - \frac{8}{3}

Simplify

10 - \frac{8}{3} : \frac{22}{3}

= \frac{22}{3}

Graph

Popular Examples

integral from 0 to 3 of x^4-3x^2+4x

\int_{0}^{3} x^{4} - 3 x^{2} + 4 x d x

integral from 0 to 1 of e^{x^2}x

\int_{0}^{1} e^{x^{2}} x d x

integral from 0 to 2 of 2x+1

\int_{0}^{2} 2 x + 1 d x

integral from 2 to 5 of 4x

\int_{2}^{5} 4 x d x

integral from-2 to 2 of (x-1)sqrt(4-x^2)

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

Frequently Asked Questions (FAQ)

What is the integral from 0 to 2 of (5-x^2) ?
The integral from 0 to 2 of (5-x^2) is 22/3