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Popular >

integral from 0 to 2 of x^2-5

Solution

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

Solution

- \frac{22}{3}

+1

Decimal Notation

- 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}

Popular Examples

integral from-1 to 1 of 2y^2

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

integral from 0 to y^2 of e^{-x}

\int_{0}^{y^{2}} e^{- x} d x

integral from 0 to 30 of (10-x/3)^2

\int_{0}^{30} (10 - \frac{x}{3})^{2} d x

integral from 0 to pi of (1-x/pi)cos(lx)

\int_{0}^{π} (1 - \frac{x}{π}) cos (l x) d x

integral from 0 to a of 1/((a-x))

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

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