integral from 1 to 3 of (9/14 x^2-2)

Lösung

\int_{1}^{3} (\frac{9}{14} x^{2} - 2) d x

\frac{11}{7}

Dezimale

1.57142 \dots

Schritte zur Lösung

\int_{1}^{3} \frac{9}{14} x^{2} - 2 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}^{3} \frac{9}{14} x^{2} d x - \int_{1}^{3} 2 d x

\int_{1}^{3} \frac{9}{14} x^{2} d x = \frac{39}{7}

\int_{1}^{3} 2 d x = 4

= \frac{39}{7} - 4

Vereinfache

\frac{39}{7} - 4 : \frac{11}{7}

= \frac{11}{7}

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