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Beliebt Rechnen >

integral from-1 to 1 of 2/(sqrt(x+1))

Lösung

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

Lösung

42

+1

Dezimale

5.65685 \dots

Schritte zur Lösung

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

Entferne die Konstante:

\int a \cdot f (x) d x = a \cdot \int f (x) d x

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

Wende U-Substitution an

= 2 \cdot \int_{0}^{2} 2 d u

Integral einer Konstanten :

\int a d x = a x

= 2 [2 u]_{0}^{2}

Berechne die Grenzen:

22

= 2 \cdot 22

Vereinfache

= 42

Graph

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