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Beliebt Rechnen >

integral from 0 to 1 of (x-sqrt(x))/3

Lösung

\int_{0}^{1} \frac{x - x}{3} d x

Lösung

- \frac{1}{18}

+1

Dezimale

- 0.05555 \dots

Schritte zur Lösung

\int_{0}^{1} \frac{x - x}{3} d x

Entferne die Konstante:

\int a \cdot f (x) d x = a \cdot \int f (x) d x

= \frac{1}{3} \cdot \int_{0}^{1} x - 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

= \frac{1}{3} (\int_{0}^{1} x d x - \int_{0}^{1} x d x)

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

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

= \frac{1}{3} (\frac{1}{2} - \frac{2}{3})

Vereinfache

\frac{1}{3} (\frac{1}{2} - \frac{2}{3}) : - \frac{1}{18}

= - \frac{1}{18}

Graph

Beliebte Beispiele

integral of e^{ax}cos(x)

\int e^{a x} cos (x) d x

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\int \frac{x ^{2} + 2}{x ^{3} + 6 x} d x

derivative sec(pi/3)tan(pi/3)

d er i v a t i v e sec (\frac{π}{3}) tan (\frac{π}{3})

(11x^2*y-13x)dy=-(11xy^2-13y)dx

(11 x^{2} \cdot y - 13 x) d y = - (11 x y^{2} - 13 y) d x

integral from 0 to 1 of (x^2+3)e^{-x}

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