integral from-1 to 2 of-x^2+4

Lösung

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

9

Schritte zur Lösung

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

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

\int_{- 1}^{2} 4 d x = 12

= - 3 + 12

Vereinfache

= 9

\int_{1}^{3} (5 x - x^{2}) d x

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

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

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

\int_{0}^{4} (13 - x) x d x