integral from 0 to 3 of x^2-2x+3

Lösung

\int_{0}^{3} x^{2} - 2 x + 3 d x

9

Schritte zur Lösung

\int_{0}^{3} 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_{0}^{3} x^{2} d x - \int_{0}^{3} 2 x d x + \int_{0}^{3} 3 d x

\int_{0}^{3} x^{2} d x = 9

\int_{0}^{3} 2 x d x = 9

\int_{0}^{3} 3 d x = 9

= 9 - 9 + 9

Vereinfache

= 9

\int_{0}^{1} t 1 + 36 t^{2} d t

\int_{0}^{1} e^{4 x} - e^{2 x} d x

\int_{a}^{a + b} \frac{1}{x} d x

\int_{1}^{e} \frac{( ( ln ( x ) ) ^{5} )}{x} d x

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