integral from-2 to 1 of-x^2+7

Lösung

\int_{- 2}^{1} - x^{2} + 7 d x

18

Schritte zur Lösung

\int_{- 2}^{1} - x^{2} + 7 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}^{1} x^{2} d x + \int_{- 2}^{1} 7 d x

\int_{- 2}^{1} x^{2} d x = 3

\int_{- 2}^{1} 7 d x = 21

= - 3 + 21

Vereinfache

= 18

\int_{0}^{3} (x^{2} - 4) d x

\int_{0}^{1} \frac{1}{x ^{\frac{5}{3}}} d x

\int_{1}^{2} x^{2} + 2 d x

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

\int_{- 1}^{0} (1 + x) d x