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Popular Calculus >

integral from 0 to 2 of x^2-5

Solution

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

Solution

- \frac{22}{3}

+1

Decimal

- 7.33333 \dots

Solution steps

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

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

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

= \frac{8}{3} - 10

Simplify

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

= - \frac{22}{3}

Graph

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Frequently Asked Questions (FAQ)

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