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Beliebt Rechnen >

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

Lösung

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

Lösung

\frac{49}{3}

+1

Dezimale

16.33333 \dots

Schritte zur Lösung

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

Wende die Summenregel an:

\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

Vereinfache

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

= \frac{49}{3}

Graph

Beliebte Beispiele

derivative of (5x^4-6x^3+x^5)

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

integral from 0 to 2 of 4/(x^2)

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

d/(ds)((-s^2+1)/((s^2+1)^2))

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

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

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

integral of (x+4)/(x^3+x^2-2)

\int \frac{x + 4}{x ^{3} + x ^{2} - 2} d x