integral from-2 to 1 of x-4|x|

Lösung

\int_{- 2}^{1} x - 4 ∣ x ∣ d x

- \frac{23}{2}

Dezimale

- 11.5

Schritte zur Lösung

\int_{- 2}^{1} x - 4 ∣ x ∣ d x

Entferne die Extremwerte

= \int_{- 2}^{0} x - 4 (- x) d x + \int_{0}^{1} x - 4 x d x

\int_{- 2}^{0} x - 4 (- x) d x = - 10

\int_{0}^{1} x - 4 x d x = - \frac{3}{2}

= - 10 - \frac{3}{2}

Vereinfache

- 10 - \frac{3}{2} : - \frac{23}{2}

= - \frac{23}{2}

\int_{- 1}^{1} 4 x^{2} d x

\int_{- 6}^{6} (t^{3} - 36 t) (- 20 t) d t

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