integral from 0 to 1 of 2+x^3

Lösung

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

\frac{9}{4}

Dezimale

2.25

Schritte zur Lösung

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

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

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

= 2 + \frac{1}{4}

Vereinfache

2 + \frac{1}{4} : \frac{9}{4}

= \frac{9}{4}

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

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