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Beliebt Rechnen >

integral from 0 to 6 of 1/(sqrt(|x-3|))

Lösung

\int_{0}^{6} \frac{1}{∣ x - 3 ∣} d x

Lösung

43

+1

Dezimale

6.92820 \dots

Schritte zur Lösung

\int_{0}^{6} \frac{1}{∣ x - 3 ∣} d x

Entferne die Extremwerte

= \int_{0}^{3} \frac{1}{- x + 3} d x + \int_{3}^{6} \frac{1}{x - 3} d x

\int_{0}^{3} \frac{1}{- x + 3} d x = 23

\int_{3}^{6} \frac{1}{x - 3} d x = 23

= 23 + 23

Vereinfache

= 43

Graph

Beliebte Beispiele

derivative of x(x^2+3^3)

\frac{d}{d x} (x (x^{2} + 3)^{3})

y^{''}+9y=2x^2-5

y^{^{''}} + 9 y = 2 x^{2} - 5

limit as x approaches 1 of (x^{10}-1)/(x-1)

x \to 1 lim (\frac{x ^{10} - 1}{x - 1})

derivative of-2/((1+2x^2))

\frac{d}{d x} (- \frac{2}{( 1 + 2 x ) ^{2}})

derivative of sqrt(x)e^{2x}

\frac{d}{d x} (x e^{2 x})