integral from 1 to 4 of (x^2+4x^3+10)

Lösung

\int_{1}^{4} (x^{2} + 4 x^{3} + 10) d x

306

Schritte zur Lösung

\int_{1}^{4} x^{2} + 4 x^{3} + 10 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} x^{2} d x + \int_{1}^{4} 4 x^{3} d x + \int_{1}^{4} 10 d x

\int_{1}^{4} x^{2} d x = 21

\int_{1}^{4} 4 x^{3} d x = 255

\int_{1}^{4} 10 d x = 30

= 21 + 255 + 30

Vereinfache

= 306

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