integral from-1 to 2 of 3x^2-2x

Lösung

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

6

Schritte zur Lösung

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

\int_{- 1}^{2} 3 x^{2} d x = 9

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

= 9 - 3

Vereinfache

= 6

\int_{0}^{\frac{π}{8}} sin^{3} (8 x) d x

\int_{- \infty}^{2} x^{2} d x

\int_{1}^{3} x^{2} - 8 x + 15 d x

\int_{1}^{4} \frac{ln ( x )}{x ^{4}} d x

\int_{0}^{4 - y^{2}} 1