integral from-2 to 0 of 6x^2-8x

Lösung

\int_{- 2}^{0} 6 x^{2} - 8 x d x

32

Schritte zur Lösung

\int_{- 2}^{0} 6 x^{2} - 8 x 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}^{0} 6 x^{2} d x - \int_{- 2}^{0} 8 x d x

\int_{- 2}^{0} 6 x^{2} d x = 16

\int_{- 2}^{0} 8 x d x = - 16

= 16 - (- 16)

Vereinfache

= 32

\int_{0}^{1} 5 + 4 t^{2} d t

\int_{0}^{4} 2 e^{- s t} d t

\int_{0}^{1} x (2 (1 - x)) d x

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

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