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

Lösung

\int_{- 1}^{2} ∣ x ∣ - x d x

- \frac{2 2}{3}

Dezimale

- 0.94280 \dots

Schritte zur Lösung

\int_{- 1}^{2} ∣ x ∣ - x d x

Entferne die Extremwerte

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

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

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

= - \frac{2 2}{3} + 0

Vereinfache

= - \frac{2 2}{3}

\int_{0}^{x} 7 e^{- 7 x} d x

\int_{2}^{5} \frac{1}{x} d x

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

\int_{0}^{\frac{1}{10}} \frac{x}{1 + 8 x ^{3}} d x