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Beliebt Rechnen >

integral from 0 to 1 of sqrt(5x+6)

Lösung

\int_{0}^{1} 5 x + 6 d x

Lösung

\frac{22 11 - 12 6}{15}

+1

Dezimale

2.90479 \dots

Schritte zur Lösung

\int_{0}^{1} 5 x + 6 d x

Wende U-Substitution an

= \int_{6}^{11} \frac{u}{5} d u

Entferne die Konstante:

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

= \frac{1}{5} \cdot \int_{6}^{11} u d u

Wende die Potenzregel an

= \frac{1}{5} [\frac{2}{3} u^{\frac{3}{2}}]_{6}^{11}

Berechne die Grenzen:

\frac{22 11}{3} - 46

= \frac{1}{5} (\frac{22 11}{3} - 46)

Vereinfache

= \frac{22 11 - 12 6}{15}

Graph

Beliebte Beispiele

integral from 1 to 4 of 2x^2

\int_{1}^{4} 2 x^{2} d x

integral from 0 to 8 of 8x

\int_{0}^{8} 8 x d x

integral from 0 to 3 of 5^{3x}

\int_{0}^{3} 5^{3 x} d x

integral from-1 to 1 of 2x+1

\int_{- 1}^{1} 2 x + 1 d x

integral from 0 to 1 of x^3sqrt(1+3x^2)

\int_{0}^{1} x^{3} 1 + 3 x^{2} d x