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

Lösung

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

19

Schritte zur Lösung

\int_{- 3}^{3} ∣ x ∣ + ∣ x + 1 ∣ d x

Entferne die Extremwerte

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

\int_{- 3}^{- 1} - x - x - 1 d x = 6

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

\int_{0}^{3} x + x + 1 d x = 12

= 6 + 1 + 12

Vereinfache

= 19

\int_{0}^{3} 6 - 3 y^{2} d y

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\int_{0}^{\frac{π}{2}} sin (x^{\frac{1}{2}}) d x

\int_{0}^{1} \frac{3 ^{x}}{e ^{x}} d x