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Beliebt Rechnen >

integral from-1 to 2 of (y+2)-(y^2)

Lösung

\int_{- 1}^{2} (y + 2) - (y^{2}) d y

Lösung

\frac{9}{2}

+1

Dezimale

4.5

Schritte zur Lösung

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

\int_{- 1}^{2} y d y = \frac{3}{2}

\int_{- 1}^{2} 2 d y = 6

\int_{- 1}^{2} y^{2} d y = 3

= \frac{3}{2} + 6 - 3

Vereinfache

\frac{3}{2} + 6 - 3 : \frac{9}{2}

= \frac{9}{2}

Graph

Beliebte Beispiele

integral of tan(x)x

\int tan (x) x d x

integral of (x^2+7x-6)/((x+1)(x^2-4x+7))

\int \frac{x ^{2} + 7 x - 6}{( x + 1 ) ( x ^{2} - 4 x + 7 )} d x

integral of 8/(θ^2)cos(8/θ)

\int \frac{8}{θ ^{2}} cos (\frac{8}{θ}) d θ

derivative y=ln(8-4x)

d er i v a t i v e y = ln (8 - 4 x)

derivative f(x)=sqrt(21x)

d er i v a t i v e f (x) = 21 x