integral from 0 to 2 of 3x^2+2x+1

Lösung

\int_{0}^{2} 3 x^{2} + 2 x + 1 d x

14

Schritte zur Lösung

\int_{0}^{2} 3 x^{2} + 2 x + 1 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}^{2} 3 x^{2} d x + \int_{0}^{2} 2 x d x + \int_{0}^{2} 1 d x

\int_{0}^{2} 3 x^{2} d x = 8

\int_{0}^{2} 2 x d x = 4

\int_{0}^{2} 1 d x = 2

= 8 + 4 + 2

Vereinfache

= 14

\int_{1}^{x^{2}} \frac{1}{t ^{5}} d t

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