integral from 2 to 5 of (x^2-2x+3)

Lösung

\int_{2}^{5} (x^{2} - 2 x + 3) d x

27

Schritte zur Lösung

\int_{2}^{5} x^{2} - 2 x + 3 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_{2}^{5} x^{2} d x - \int_{2}^{5} 2 x d x + \int_{2}^{5} 3 d x

\int_{2}^{5} x^{2} d x = 39

\int_{2}^{5} 2 x d x = 21

\int_{2}^{5} 3 d x = 9

= 39 - 21 + 9

Vereinfache

= 27

\int_{0}^{π} 1 - sin (2 x) d x

\int_{- 5}^{5} x (x^{12} - 7 x^{8} - 5) d x

\int_{0}^{x} t^{2} e^{- s t} d t

\int_{- 2}^{3} [t e^{t}] d t

\int_{1}^{4} (4 x^{5} - 6 x^{2} - 7 x + 3) d x