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Beliebt Rechnen >

integral from 0 to 1 of (x^2-x^4)

Lösung

\int_{0}^{1} (x^{2} - x^{4}) d x

Lösung

\frac{2}{15}

+1

Dezimale

0.13333 \dots

Schritte zur Lösung

\int_{0}^{1} x^{2} - x^{4} 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^{2} d x - \int_{0}^{1} x^{4} d x

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

\int_{0}^{1} x^{4} d x = \frac{1}{5}

= \frac{1}{3} - \frac{1}{5}

Vereinfache

\frac{1}{3} - \frac{1}{5} : \frac{2}{15}

= \frac{2}{15}

Graph

Beliebte Beispiele

derivative of (3x/(4x^2+9))

\frac{d}{d x} (\frac{3 x}{4 x ^{2} + 9})

fläche x^2-17,16x

a re a x^{2} - 17, 16 x

y^{^{'}} = 12 - \frac{y}{30}

derivative of (2x/(sin(x)))

\frac{d}{d x} (\frac{2 x}{sin ( x )})

derivative (b(-12b-290))/(8-b)

d er i v a t i v e \frac{b ( - 12 b - 290 )}{8 - b}