integral from 0 to 2pi of 2-2cos(x)

Lösung

\int_{0}^{2 π} 2 - 2 cos (x) d x

4 π

Dezimale

12.56637 \dots

Schritte zur Lösung

\int_{0}^{2 π} 2 - 2 cos (x) 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_{0}^{2 π} 2 d x - \int_{0}^{2 π} 2 cos (x) d x

\int_{0}^{2 π} 2 d x = 4 π

\int_{0}^{2 π} 2 cos (x) d x = 0

= 4 π - 0

Vereinfache

= 4 π

\int_{x}^{x^{2}} sin (t) d t

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

\int_{1}^{x^{2}} sec (t) d t

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

\int_{0}^{l o g_{3} (7)} 3^{x} d x