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Beliebt Rechnen >

integral from 0 to 1 of (2x-x^2-x^2)

Lösung

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

Lösung

\frac{1}{3}

+1

Dezimale

0.33333 \dots

Schritte zur Lösung

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

Vereinfache

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

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

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

= 1 - \frac{2}{3}

Vereinfache

1 - \frac{2}{3} : \frac{1}{3}

= \frac{1}{3}

Graph

Beliebte Beispiele

integral from 0 to 4 of 6x^2

\int_{0}^{4} 6 x^{2} d x

integral from 1 to 3 of (x-2)

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

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\int_{0}^{x} 2 - x d x

integral from 0 to 2pi of 1+cos(x)

\int_{0}^{2 π} 1 + cos (x) d x

integral from-3 to 1 of xsqrt(1-x)

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