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Beliebt Rechnen >

integral from 1 to 2 of x^3sqrt(x^4+5)

Lösung

\int_{1}^{2} x^{3} x^{4} + 5 d x

Lösung

\frac{7 21 - 2 6}{2}

+1

Dezimale

13.58952 \dots

Schritte zur Lösung

\int_{1}^{2} x^{3} x^{4} + 5 d x

Wende U-Substitution an

= \int_{6}^{21} \frac{u}{4} d u

Entferne die Konstante:

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

= \frac{1}{4} \cdot \int_{6}^{21} u d u

Wende die Potenzregel an

= \frac{1}{4} [\frac{2}{3} u^{\frac{3}{2}}]_{6}^{21}

Berechne die Grenzen:

1421 - 46

= \frac{1}{4} (1421 - 46)

Vereinfache

= \frac{7 21 - 2 6}{2}

Graph

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limit as x approaches infinity of x^3-6x

x \to \infty lim (x^{3} - 6 x)

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