integral from pi to 2pi of cos(x)-1

Lösung

\int_{π}^{2 π} cos (x) - 1 d x

- π

Dezimale

- 3.14159 \dots

Schritte zur Lösung

\int_{π}^{2 π} cos (x) - 1 d x

Wende die Summenregel an:

\int f (x) \pm g (x) d x = \int f (x) d x \pm \int g (x) d x

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

\int_{π}^{2 π} cos (x) d x = 0

\int_{π}^{2 π} 1 d x = π

= 0 - π

Vereinfache

= - π

\int_{0}^{1} 1 + r^{2} d r

\int_{1}^{e^{x}} 6 ln (x) d x

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

\int_{- 3}^{1} 3 x + 6 d x

\int_{0}^{\infty} x 2^{- x} d x