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Beliebt Rechnen >

integral from-2 to 3 of (2-|x-1|)

Lösung

\int_{- 2}^{3} (2 - ∣ x - 1 ∣) d x

Lösung

\frac{7}{2}

+1

Dezimale

3.5

Schritte zur Lösung

\int_{- 2}^{3} 2 - ∣ x - 1 ∣ d x

Entferne die Extremwerte

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

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

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

= \frac{3}{2} + 2

Vereinfache

\frac{3}{2} + 2 : \frac{7}{2}

= \frac{7}{2}

Graph

Beliebte Beispiele

limit as x approaches 0 of ((5^x-3^x))/x

x \to 0 lim (\frac{( 5 ^{x} - 3 ^{x} )}{x})

derivative of (50x/(0.01x^2+1))

\frac{d}{d x} (\frac{50 x}{0.01 x ^{2} + 1})

integral of (x^2+1)^{-3/2}

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

derivative f(x)=x^4-4x^3

d er i v a t i v e f (x) = x^{4} - 4 x^{3}

integral of x*sqrt(1-x^4)

\int x \cdot 1 - x^{4} d x