integral from 0 to 6 of (-x^2+6x)

Lösung

\int_{0}^{6} (- x^{2} + 6 x) d x

36

Schritte zur Lösung

\int_{0}^{6} - x^{2} + 6 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}^{6} x^{2} d x + \int_{0}^{6} 6 x d x

\int_{0}^{6} x^{2} d x = 72

\int_{0}^{6} 6 x d x = 108

= - 72 + 108

Vereinfache

= 36

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

\int_{2}^{x^{3}} \frac{1}{p ^{2}} d p

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