integral from 9 to 16 of (sqrt(x)-3)

Lösung

\int_{9}^{16} (x - 3) d x

\frac{11}{3}

Dezimale

3.66666 \dots

Schritte zur Lösung

\int_{9}^{16} 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_{9}^{16} x d x - \int_{9}^{16} 3 d x

\int_{9}^{16} x d x = \frac{74}{3}

\int_{9}^{16} 3 d x = 21

= \frac{74}{3} - 21

Vereinfache

\frac{74}{3} - 21 : \frac{11}{3}

= \frac{11}{3}

\int_{0}^{9} x - 2 d x

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