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Popular >

integral from-2 to 5 of (x^2-4)

Solution

\int_{- 2}^{5} (x^{2} - 4) d x

Solution

\frac{49}{3}

+1

Decimal

16.33333 \dots

Solution steps

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

\int_{- 2}^{5} x^{2} d x = \frac{133}{3}

\int_{- 2}^{5} 4 d x = 28

= \frac{133}{3} - 28

Simplify

\frac{133}{3} - 28 : \frac{49}{3}

= \frac{49}{3}

Graph

Popular Examples

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\frac{d}{d x} ((5 x^{4} - 6 x^{3} + x)^{5})

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\int_{0}^{2} \frac{4}{x ^{2}} d x

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\frac{d}{d s} (\frac{- s ^{2} + 1}{( s ^{2} + 1 ) ^{2}})

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\frac{\partial}{\partial x} (x^{2 + 2 y^{2} + 3 z^{2}})

derivative of 2x^{4pi}

\frac{d}{d x} (2 x^{4 π})

Frequently Asked Questions (FAQ)

What is the integral from-2 to 5 of (x^2-4) ?
The integral from-2 to 5 of (x^2-4) is 49/3