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Beliebt Rechnen >

integral from 0 to 8 of sqrt(1+9x)

Lösung

\int_{0}^{8} 1 + 9 x d x

Lösung

\frac{146 73 - 2}{27}

+1

Dezimale

46.12683 \dots

Schritte zur Lösung

\int_{0}^{8} 1 + 9 x d x

Wende U-Substitution an

= \int_{1}^{73} \frac{u}{9} d u

Entferne die Konstante:

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

= \frac{1}{9} \cdot \int_{1}^{73} u d u

Wende die Potenzregel an

= \frac{1}{9} [\frac{2}{3} u^{\frac{3}{2}}]_{1}^{73}

Berechne die Grenzen:

\frac{146 73}{3} - \frac{2}{3}

= \frac{1}{9} (\frac{146 73}{3} - \frac{2}{3})

Vereinfache

= \frac{146 73 - 2}{27}

Graph

Beliebte Beispiele

limit as x approaches 0 of (sin(9x))/(sin(3x))

x \to 0 lim (\frac{sin ( 9 x )}{sin ( 3 x )})

integral of (2t+1)

\int (2 t + 1) d t

(dy)/(dx)=(2x+y+1)/(4x+2y-5)

\frac{d y}{d x} = \frac{2 x + y + 1}{4 x + 2 y - 5}

integral of x/(x^2+3x+2)

\int \frac{x}{x ^{2} + 3 x + 2} d x

derivative of arctan(ax^2)

\frac{d}{d x} (arctan (a x^{2}))