integral from-1 to 3 of 2x+6

Lösung

\int_{- 1}^{3} 2 x + 6 d x

32

Schritte zur Lösung

\int_{- 1}^{3} 2 x + 6 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}^{3} 2 x d x + \int_{- 1}^{3} 6 d x

\int_{- 1}^{3} 2 x d x = 8

\int_{- 1}^{3} 6 d x = 24

= 8 + 24

Vereinfache

= 32

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

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

\int_{- 1}^{3} 2 x + 4 d x

\int_{0}^{3} (y - 3) (2 y + 3) d y

\int_{5}^{6} - x^{3} + 11 x^{2} - 30 x d x