integral from-7 to 7 of 7-|x|

Lösung

\int_{- 7}^{7} 7 - ∣ x ∣ d x

49

Schritte zur Lösung

\int_{- 7}^{7} 7 - ∣ x ∣ d x

Entferne die Extremwerte

= \int_{- 7}^{0} 7 - (- x) d x + \int_{0}^{7} 7 - x d x

\int_{- 7}^{0} 7 - (- x) d x = \frac{49}{2}

\int_{0}^{7} 7 - x d x = \frac{49}{2}

= \frac{49}{2} + \frac{49}{2}

Vereinfache

\frac{49}{2} + \frac{49}{2} : 49

= 49

\int_{0}^{π} x^{2} ∣ cos (x) ∣ d x

\int_{0}^{1} cos (3 x - 3) d x

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

\int_{0}^{1} x^{2} ln (x + 1) d x

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