integral from 0 to 2 of (2-x)

Lösung

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

2

Schritte zur Lösung

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

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

\int_{0}^{2} x d x = 2

= 4 - 2

Vereinfache

= 2

x \to 1 lim (cos (x))

\frac{d y}{d x} = \frac{y - 1 - 2 y + y + 1}{x ^{2}}

a re a y = \frac{- x ^{3}}{2} - \frac{x ^{2}}{2} + \frac{5 x}{2}, y = \frac{- x}{2}

\int (- 2 e^{3 x} + \frac{5}{x}) d x

x \to + 1 lim (ln (x))