integral from 2 to 5 of (x^2+4)

Lösung

\int_{2}^{5} (x^{2} + 4) d x

51

Schritte zur Lösung

\int_{2}^{5} x^{2} + 4 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_{2}^{5} x^{2} d x + \int_{2}^{5} 4 d x

\int_{2}^{5} x^{2} d x = 39

\int_{2}^{5} 4 d x = 12

= 39 + 12

Vereinfache

= 51

\int_{0}^{4} (2 x + 1) d x

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