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Beliebt Rechnen >

integral from 8 to 9 of xsqrt(x-8)

Lösung

\int_{8}^{9} x x - 8 d x

Lösung

\frac{86}{15}

+1

Dezimale

5.73333 \dots

Schritte zur Lösung

\int_{8}^{9} x x - 8 d x

Wende U-Substitution an

= \int_{0}^{1} (u + 8) u d u

Multipliziere aus

(u + 8) u : u^{\frac{3}{2}} + 8 u

= \int_{0}^{1} u^{\frac{3}{2}} + 8 u d u

Wende die Summenregel an:

\int f (x) \pm g (x) d x = \int f (x) d x \pm \int g (x) d x

= \int_{0}^{1} u^{\frac{3}{2}} d u + \int_{0}^{1} 8 u d u

\int_{0}^{1} u^{\frac{3}{2}} d u = \frac{2}{5}

\int_{0}^{1} 8 u d u = \frac{16}{3}

= \frac{2}{5} + \frac{16}{3}

Vereinfache

\frac{2}{5} + \frac{16}{3} : \frac{86}{15}

= \frac{86}{15}

Graph

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