integral from 2 to 5 of x^2-4x+5

Lösung

\int_{2}^{5} x^{2} - 4 x + 5 d x

12

Schritte zur Lösung

\int_{2}^{5} x^{2} - 4 x + 5 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} 4 x d x + \int_{2}^{5} 5 d x

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

\int_{2}^{5} 4 x d x = 42

\int_{2}^{5} 5 d x = 15

= 39 - 42 + 15

Vereinfache

= 12

\int_{0}^{\infty} \frac{1}{4 x + 3} d x

\int_{4}^{16} 2 x - 1 d x

\int_{0}^{x} x^{3} y^{2} d y

\int_{- 2}^{0} 2 x + 4 d x

\int_{\frac{1}{4}}^{\frac{1}{2}} \frac{2}{5} (x + 2) d x