integral from-2 to 0 of 3x^3-12x

Lösung

\int_{- 2}^{0} 3 x^{3} - 12 x d x

12

Schritte zur Lösung

\int_{- 2}^{0} 3 x^{3} - 12 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} 3 x^{3} d x - \int_{- 2}^{0} 12 x d x

\int_{- 2}^{0} 3 x^{3} d x = - 12

\int_{- 2}^{0} 12 x d x = - 24

= - 12 - (- 24)

Vereinfache

= 12

\int_{- 0.5}^{0} b + 2 b x d x

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

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

\int_{1}^{2} t \frac{1}{2} t^{2} + 6 d t

\int_{0}^{7} 2 x d x