integral from 0 to 2 of ax^2+bx

Lösung

\int_{0}^{2} a x^{2} + b x d x

\frac{8 a}{3} + b \cdot 2

Schritte zur Lösung

\int_{0}^{2} a x^{2} + b 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_{0}^{2} a x^{2} d x + \int_{0}^{2} b x d x

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

\int_{0}^{2} b x d x = b \cdot 2

= \frac{8 a}{3} + b \cdot 2

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

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