integral from 5 to 8 of (x-7)^2

Lösung

\int_{5}^{8} (x - 7)^{2} d x

3

Schritte zur Lösung

\int_{5}^{8} (x - 7)^{2} d x

Multipliziere aus

(x - 7)^{2} : x^{2} - 14 x + 49

= \int_{5}^{8} x^{2} - 14 x + 49 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_{5}^{8} x^{2} d x - \int_{5}^{8} 14 x d x + \int_{5}^{8} 49 d x

\int_{5}^{8} x^{2} d x = 129

\int_{5}^{8} 14 x d x = 273

\int_{5}^{8} 49 d x = 147

= 129 - 273 + 147

Vereinfache

= 3

\frac{d y}{d x} = \frac{1}{y ^{3}}

x \to - 2 + lim (\frac{x + 1}{x + 2})

\int \frac{1}{x 4 x ^{2} - 16} d x

t an g e n t y = 7 + 5 x^{2} - 2 x^{3}, (2, 11)

x \to 2 lim (\frac{x + 4}{x - 2})