integral from 0 to 4 of (30-x)

Lösung

\int_{0}^{4} (30 - x) d x

112

Schritte zur Lösung

\int_{0}^{4} 30 - 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}^{4} 30 d x - \int_{0}^{4} x d x

\int_{0}^{4} 30 d x = 120

\int_{0}^{4} x d x = 8

= 120 - 8

Vereinfache

= 112

\int_{0}^{4} (x - 4)^{3} d x

\int_{0}^{2} x^{2} - 6 x + 8 d x

\int_{0}^{3} (2 x + sin (2 π x)) d x

\int_{0}^{π} e^{x^{2}} sin (x) d x

\int_{0}^{2} e^{x + 1} d x