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Beliebt Rechnen >

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

Lösung

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

Lösung

\frac{3}{4}

+1

Dezimale

0.75

Schritte zur Lösung

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

Multipliziere aus

x (x^{2} + 1) : x^{3} + x

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

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

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

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

Vereinfache

\frac{1}{4} + \frac{1}{2} : \frac{3}{4}

= \frac{3}{4}

Graph

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