integral from-1 to 2 of 8x-x^2-7

Lösung

\int_{- 1}^{2} 8 x - x^{2} - 7 d x

- 12

Schritte zur Lösung

\int_{- 1}^{2} 8 x - x^{2} - 7 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} 8 x d x - \int_{- 1}^{2} x^{2} d x - \int_{- 1}^{2} 7 d x

\int_{- 1}^{2} 8 x d x = 12

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

\int_{- 1}^{2} 7 d x = 21

= 12 - 3 - 21

Vereinfache

= - 12

\int_{- 1}^{0} - 2 x + 3 d x

\int_{0}^{2} \frac{2}{x + 1} d x

\int_{2}^{6} x^{2} + 7 d x

\int_{- π}^{0} (π + x) sin (n x) d x

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