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Beliebt Rechnen >

integral from 1 to 8 of x^2sqrt(x^3+1)

Lösung

\int_{1}^{8} x^{2} x^{3} + 1 d x

Lösung

\frac{3078 57 - 4 2}{9}

+1

Dezimale

2581.41483 \dots

Schritte zur Lösung

\int_{1}^{8} x^{2} x^{3} + 1 d x

Wende U-Substitution an

= \int_{2}^{513} \frac{u}{3} d u

Entferne die Konstante:

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

= \frac{1}{3} \cdot \int_{2}^{513} u d u

Wende die Potenzregel an

= \frac{1}{3} [\frac{2}{3} u^{\frac{3}{2}}]_{2}^{513}

Berechne die Grenzen:

102657 - \frac{4 2}{3}

= \frac{1}{3} (102657 - \frac{4 2}{3})

Vereinfache

= \frac{3078 57 - 4 2}{9}

Graph

Beliebte Beispiele

integral from 1 to 3 of (z-2)^3

\int_{1}^{3} (z - 2)^{3} d z

integral from 1 to x+c of 1

\int_{1}^{x + c} 1 d x

integral from-3 to 3 of 3-|x|

\int_{- 3}^{3} 3 - ∣ x ∣ d x

integral from 0 to 4 of 8-2x

\int_{0}^{4} 8 - 2 x d x

integral from 0 to 1 of (1-y)y^n

\int_{0}^{1} (1 - y) y^{n} d y