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Beliebt Rechnen >

integral from 0 to 1 of 7xsqrt(x^2+16)

Lösung

\int_{0}^{1} 7 x x^{2} + 16 d x

Lösung

\frac{7 ( 17 17 - 64 )}{3}

+1

Dezimale

14.21652 \dots

Schritte zur Lösung

\int_{0}^{1} 7 x x^{2} + 16 d x

Entferne die Konstante:

\int a \cdot f (x) d x = a \cdot \int f (x) d x

= 7 \cdot \int_{0}^{1} x x^{2} + 16 d x

Wende U-Substitution an

= 7 \cdot \int_{4}^{17} u^{2} d u

Wende die Potenzregel an

= 7 [\frac{u ^{3}}{3}]_{4}^{17}

Berechne die Grenzen:

\frac{17 17}{3} - \frac{64}{3}

= 7 (\frac{17 17}{3} - \frac{64}{3})

Vereinfache

= \frac{7 ( 17 17 - 64 )}{3}

Graph

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