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Beliebt Rechnen >

integral from-2 to 2 of 1/(sqrt(|2x|))

Lösung

\int_{- 2}^{2} \frac{1}{∣ 2 x ∣} d x

Lösung

4

Schritte zur Lösung

\int_{- 2}^{2} \frac{1}{∣ 2 x ∣} d x

Entferne die Extremwerte

= \int_{- 2}^{0} \frac{1}{- 2 x} d x + \int_{0}^{2} \frac{1}{2 x} d x

\int_{- 2}^{0} \frac{1}{- 2 x} d x = 2

\int_{0}^{2} \frac{1}{2 x} d x = 2

= 2 + 2

Vereinfache

= 4

Graph

Beliebte Beispiele

integral from-infinity to infinity of 1/(e^x+e^{-x)}

\int_{- \infty}^{\infty} \frac{1}{e ^{x} + e ^{- x}} d x

derivative f(x)=x^{13}

d er i v a t i v e f (x) = x^{13}

derivative of (x^3+x-1/2)

\frac{d}{d x} (\frac{x ^{3} + x - 1}{2})

limit as x approaches 2 of 10

x \to 2 lim (10)

y^{''}-3/x y^'-7/(x^2)y=0

y^{^{''}} - \frac{3}{x} y^{^{'}} - \frac{7}{x ^{2}} y = 0