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Beliebt Rechnen >

integral from-4 to 2 of-(y^2)/2-y+4

Lösung

\int_{- 4}^{2} - \frac{y ^{2}}{2} - y + 4 d y

Lösung

18

Schritte zur Lösung

\int_{- 4}^{2} - \frac{y ^{2}}{2} - y + 4 d y

Wende die Summenregel an:

\int f (x) \pm g (x) d x = \int f (x) d x \pm \int g (x) d x

= - \int_{- 4}^{2} \frac{y ^{2}}{2} d y - \int_{- 4}^{2} y d y + \int_{- 4}^{2} 4 d y

\int_{- 4}^{2} \frac{y ^{2}}{2} d y = 12

\int_{- 4}^{2} y d y = - 6

\int_{- 4}^{2} 4 d y = 24

= - 12 - (- 6) + 24

Vereinfache

= 18

Graph

Beliebte Beispiele

derivative f(x)=(x^5)/7

d er i v a t i v e f (x) = \frac{x ^{5}}{7}

integral of sqrt(cos(2x-2))

\int cos (2 x - 2) d x

integral of (x^4)/(9-x^5)

\int \frac{x ^{4}}{9 - x ^{5}} d x

y^{^{'}} = e^{- x} y

y^{''}-3y^'-10y=-3x^2e^{-6x}

y^{^{''}} - 3 y^{^{'}} - 10 y = - 3 x^{2} e^{- 6 x}