integral from 3 to 4 of x^2-3x

Lösung

\int_{3}^{4} x^{2} - 3 x d x

\frac{11}{6}

Dezimale

1.83333 \dots

Schritte zur Lösung

\int_{3}^{4} x^{2} - 3 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_{3}^{4} x^{2} d x - \int_{3}^{4} 3 x d x

\int_{3}^{4} x^{2} d x = \frac{37}{3}

\int_{3}^{4} 3 x d x = \frac{21}{2}

= \frac{37}{3} - \frac{21}{2}

Vereinfache

\frac{37}{3} - \frac{21}{2} : \frac{11}{6}

= \frac{11}{6}

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