integral from 2 to 4 of (x^3+x)

Lösung

\int_{2}^{4} (x^{3} + x) d x

66

Schritte zur Lösung

\int_{2}^{4} x^{3} + 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_{2}^{4} x^{3} d x + \int_{2}^{4} x d x

\int_{2}^{4} x^{3} d x = 60

\int_{2}^{4} x d x = 6

= 60 + 6

Vereinfache

= 66

\int_{2}^{4} 2 x - 4 d x

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\int_{0}^{\frac{π}{4}} 5 sin (x) d x

\int_{0}^{π} (1 + sin^{3} (x)) d x

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