integral from 0 to pi of |cos(t)|

Lösung

\int_{0}^{π} ∣ cos (t) ∣ d t

2

Schritte zur Lösung

\int_{0}^{π} ∣ cos (t) ∣ d t

Entferne die Extremwerte

= \int_{0}^{\frac{π}{2}} cos (t) d t + \int_{\frac{π}{2}}^{π} - cos (t) d t

\int_{0}^{\frac{π}{2}} cos (t) d t = 1

\int_{\frac{π}{2}}^{π} - cos (t) d t = 1

= 1 + 1

Vereinfache

= 2

\int_{- 5}^{0} \frac{1}{x ^{2} - 16} d x

\int_{1}^{3} ∣ x ∣ d x

\int_{0}^{4} 2 y^{\frac{1}{2}} d y

\int_{0}^{1} (x^{2} - x) sin (nπ x) d x

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