integral from 1 to 2 of (3x^5-2x^3)

Lösung

\int_{1}^{2} (3 x^{5} - 2 x^{3}) d x

24

Schritte zur Lösung

\int_{1}^{2} 3 x^{5} - 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_{1}^{2} 3 x^{5} d x - \int_{1}^{2} 2 x^{3} d x

\int_{1}^{2} 3 x^{5} d x = \frac{63}{2}

\int_{1}^{2} 2 x^{3} d x = \frac{15}{2}

= \frac{63}{2} - \frac{15}{2}

Vereinfache

\frac{63}{2} - \frac{15}{2} : 24

= 24

\int_{0}^{t} e^{a t} d t

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

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