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Beliebt Rechnen >

integral from-1 to 4 of (5x^4-8x^3+6)

Lösung

\int_{- 1}^{4} (5 x^{4} - 8 x^{3} + 6) d x

Lösung

545

Schritte zur Lösung

\int_{- 1}^{4} 5 x^{4} - 8 x^{3} + 6 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}^{4} 5 x^{4} d x - \int_{- 1}^{4} 8 x^{3} d x + \int_{- 1}^{4} 6 d x

\int_{- 1}^{4} 5 x^{4} d x = 1025

\int_{- 1}^{4} 8 x^{3} d x = 510

\int_{- 1}^{4} 6 d x = 30

= 1025 - 510 + 30

Vereinfache

= 545

Graph

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