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Beliebt Rechnen >

integral from 0 to 1 of x^3-3x^2+2x

Lösung

\int_{0}^{1} x^{3} - 3 x^{2} + 2 x d x

Lösung

\frac{1}{4}

+1

Dezimale

0.25

Schritte zur Lösung

\int_{0}^{1} x^{3} - 3 x^{2} + 2 x 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_{0}^{1} x^{3} d x - \int_{0}^{1} 3 x^{2} d x + \int_{0}^{1} 2 x d x

\int_{0}^{1} x^{3} d x = \frac{1}{4}

\int_{0}^{1} 3 x^{2} d x = 1

\int_{0}^{1} 2 x d x = 1

= \frac{1}{4} - 1 + 1

Vereinfache

= \frac{1}{4}

Graph

Beliebte Beispiele

derivative y=x^2-5x+5

d er i v a t i v e y = x^{2} - 5 x + 5

integral of x^2(6-x)

\int x^{2} (6 - x) d x

2y^{''}-y^'-y=6e^{-x/2}

2 y^{^{''}} - y^{^{'}} - y = 6 e^{- \frac{x}{2}}

derivative of 7/(sqrt(x+5))

\frac{d}{d x} (\frac{7}{x + 5})

y^'=((x+y)^2)/(2x^2)

y^{^{'}} = \frac{( x + y ) ^{2}}{2 x ^{2}}