integral from 1 to 7 of (x^2-2x-24)

Lösung

\int_{1}^{7} (x^{2} - 2 x - 24) d x

- 78

Schritte zur Lösung

\int_{1}^{7} x^{2} - 2 x - 24 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_{1}^{7} x^{2} d x - \int_{1}^{7} 2 x d x - \int_{1}^{7} 24 d x

\int_{1}^{7} x^{2} d x = 114

\int_{1}^{7} 2 x d x = 48

\int_{1}^{7} 24 d x = 144

= 114 - 48 - 144

Vereinfache

= - 78

\int_{3}^{6} \frac{2}{x ^{3}} d x

\int_{0}^{1} ∣ x - 1 ∣ d x

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

\int_{0}^{l n (5)} e^{2 x - y} d x

\int_{0}^{30} 1 d x