integral from 4 to 16 of sqrt(x)-1

Lösung

\int_{4}^{16} x - 1 d x

\frac{76}{3}

Dezimale

25.33333 \dots

Schritte zur Lösung

\int_{4}^{16} x - 1 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_{4}^{16} x d x - \int_{4}^{16} 1 d x

\int_{4}^{16} x d x = \frac{112}{3}

\int_{4}^{16} 1 d x = 12

= \frac{112}{3} - 12

Vereinfache

\frac{112}{3} - 12 : \frac{76}{3}

= \frac{76}{3}

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