integral from 0 to pi of cos(x)+1

Lösung

\int_{0}^{π} cos (x) + 1 d x

π

Dezimale

3.14159 \dots

Schritte zur Lösung

\int_{0}^{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_{0}^{π} cos (x) d x + \int_{0}^{π} 1 d x

\int_{0}^{π} cos (x) d x = 0

\int_{0}^{π} 1 d x = π

= 0 + π

Vereinfache

= π

\int_{0}^{2 π} \frac{1}{4} sin^{2} (x) d x

\int_{0}^{2} (x - 2)^{3} d x

\int_{0}^{π} 2 π (sin (x)) d x

\int_{y}^{y + 1} 2 y d y

\int_{0}^{12} x (\frac{1}{72} x) d x