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Popular >

integral from 0 to 3 of x-x^2

Solution

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

Solution

- \frac{9}{2}

+1

Decimal Notation

- 4.5

Solution steps

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

\int_{0}^{3} x d x = \frac{9}{2}

\int_{0}^{3} x^{2} d x = 9

= \frac{9}{2} - 9

Simplify

\frac{9}{2} - 9 : - \frac{9}{2}

= - \frac{9}{2}

Popular Examples

integral from 1 to 2 of (v^2+4v^6)/(v^3)

\int_{1}^{2} \frac{v ^{2} + 4 v ^{6}}{v ^{3}} d v

integral from 0 to 0.9 of e^{-x}+1

\int_{0}^{0.9} e^{- x} + 1 d x

integral from 0 to 3 of p/(sqrt(16+p^2))

\int_{0}^{3} \frac{p}{16 + p ^{2}} d p

integral from 0 to 3 of sec^2(5x)

\int_{0}^{3} sec^{2} (5 x) d x

integral from 0 to 3 of 2e^{-st}

\int_{0}^{3} 2 e^{- s t} d t

Frequently Asked Questions (FAQ)

What is the integral from 0 to 3 of x-x^2 ?
The integral from 0 to 3 of x-x^2 is -9/2