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Beliebt Rechnen >

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

Lösung

\int_{- 1}^{1} (1 - ∣ x ∣) d x

Lösung

1

Schritte zur Lösung

\int_{- 1}^{1} 1 - ∣ x ∣ d x

Entferne die Extremwerte

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

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

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

= \frac{1}{2} + \frac{1}{2}

Vereinfache

\frac{1}{2} + \frac{1}{2} : 1

= 1

Graph

Beliebte Beispiele

derivative of 3x+4x^2

\frac{d}{d x} (3 x + 4 x^{2})

(\partial)/(\partial x)(4x^3-36x)

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\int (3 sec (x) tan (x) + 4 sec^{2} (x)) d x

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\int 7 sin^{3} (x) cos^{7} (x) d x