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

Lösung

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

21

Schritte zur Lösung

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

\int_{0}^{3} x^{2} d x = 9

\int_{0}^{3} 2 x d x = 9

\int_{0}^{3} 1 d x = 3

= 9 + 9 + 3

Vereinfache

= 21

\int_{x}^{1} sin (x^{2}) d x

\int_{0}^{1} 2 z d z

\int_{1}^{2} (4 x^{3} - \frac{x ^{4}}{5}) d x

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\int_{1}^{3} 3 x x - 1 d x