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Beliebt Rechnen >

integral from-2 to 2 of |x^2-1|

Lösung

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

Lösung

4

Schritte zur Lösung

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

Entferne die Extremwerte

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

\int_{- 2}^{- 1} x^{2} - 1 d x = \frac{4}{3}

\int_{- 1}^{1} - x^{2} + 1 d x = \frac{4}{3}

\int_{1}^{2} x^{2} - 1 d x = \frac{4}{3}

= \frac{4}{3} + \frac{4}{3} + \frac{4}{3}

Vereinfache

\frac{4}{3} + \frac{4}{3} + \frac{4}{3} : 4

= 4

Graph

Beliebte Beispiele

integral of 4xsqrt(x^2+2x)

\int 4 x x^{2} + 2 x d x

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

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

derivative y=sin^5(2x+1)

d er i v a t i v e y = sin^{5} (2 x + 1)

derivative f(x)=-csc(x)-sin(x)

d er i v a t i v e f (x) = - csc (x) - sin (x)

derivative of \sqrt[3]{x^2+x+1}

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