integral from 3 to 6 of (3x^2+x-3)

Lösung

\int_{3}^{6} (3 x^{2} + x - 3) d x

\frac{387}{2}

Dezimale

193.5

Schritte zur Lösung

\int_{3}^{6} 3 x^{2} + x - 3 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_{3}^{6} 3 x^{2} d x + \int_{3}^{6} x d x - \int_{3}^{6} 3 d x

\int_{3}^{6} 3 x^{2} d x = 189

\int_{3}^{6} x d x = \frac{27}{2}

\int_{3}^{6} 3 d x = 9

= 189 + \frac{27}{2} - 9

Vereinfache

189 + \frac{27}{2} - 9 : \frac{387}{2}

= \frac{387}{2}

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