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Beliebt Rechnen >

integral from 0 to 1 of x-x^3

Lösung

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

Lösung

\frac{1}{4}

+1

Dezimale

0.25

Schritte zur Lösung

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

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

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

= \frac{1}{2} - \frac{1}{4}

Vereinfache

\frac{1}{2} - \frac{1}{4} : \frac{1}{4}

= \frac{1}{4}

Graph

Beliebte Beispiele

(\partial)/(\partial x)(e^{-x^3-y^3})

\frac{\partial}{\partial x} (e^{- x^{3} - y^{3}})

d er i v a t i v e 5^{t}

f (x) = sin (x^{5})

derivative of (-5/(x^2))

\frac{d}{d x} (\frac{- 5}{x ^{2}})

integral of (2x-4)/((x^2-4x+20)^2)

\int \frac{2 x - 4}{( x ^{2} - 4 x + 20 ) ^{2}} d x