integral from pi to 0 of cos(x)

Lösung

\int_{π}^{0} cos (x) d x

0

Schritte zur Lösung

\int_{π}^{0} cos (x) d x

\int_{a}^{b} f (x) d x = - \int_{b}^{a} f (x) d x, a < b

= - \int_{0}^{π} cos (x) d x

Nutze das gemeinsame Integral :

\int cos (x) d x = sin (x)

= - [sin (x)]_{0}^{π}

Berechne die Grenzen:

0

= - 0

Vereinfache

= 0

\int_{- 1}^{2} (3 u - 8) (u + 3) d u

\int_{0}^{4} 3 x^{2} d x

\int_{- 2}^{3} (x + 2) (x - 3) d x

\int_{- 2}^{2} e^{x^{2}} d x

\int_{1}^{5} \frac{1}{t} d t