integral from-8 to 3 of sqrt(1+|x|)

Lösung

\int_{- 8}^{3} 1 + ∣ x ∣ d x

22

Schritte zur Lösung

\int_{- 8}^{3} 1 + ∣ x ∣ d x

Entferne die Extremwerte

= \int_{- 8}^{0} 1 - x d x + \int_{0}^{3} 1 + x d x

\int_{- 8}^{0} 1 - x d x = \frac{52}{3}

\int_{0}^{3} 1 + x d x = \frac{14}{3}

= \frac{52}{3} + \frac{14}{3}

Vereinfache

\frac{52}{3} + \frac{14}{3} : 22

= 22

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

\int_{a}^{b} ln (r^{2}) r d r

\int_{0}^{8} 2 x + 3 d x

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

\int_{0}^{4} x^{2} - 1 d x