integral from-pi/2 to pi/2 of |sin(x)|

Lösung

\int_{- \frac{π}{2}}^{\frac{π}{2}} ∣ sin (x) ∣ d x

2

Schritte zur Lösung

\int_{- \frac{π}{2}}^{\frac{π}{2}} ∣ sin (x) ∣ d x

Entferne die Extremwerte

= \int_{- \frac{π}{2}}^{0} - sin (x) d x + \int_{0}^{\frac{π}{2}} sin (x) d x

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

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

= 1 + 1

Vereinfache

= 2

\int_{- 6}^{4} (- \frac{3}{2} x + 1) d x

\int_{50}^{100} \frac{x}{15 + 7 x ^{2}} d x

\int_{0}^{3} 5^{4 x} d x

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

\int_{- 1}^{3} \frac{3 x ^{2}}{x ^{3} + 5} d x