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

Lösung

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

\frac{5}{4}

Dezimale

1.25

Schritte zur Lösung

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

Multipliziere aus

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

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

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

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

= \frac{1}{4} + 1

Vereinfache

\frac{1}{4} + 1 : \frac{5}{4}

= \frac{5}{4}

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