integral from-4 to 2 of-x+2

Lösung

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

18

Schritte zur Lösung

\int_{- 4}^{2} - x + 2 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_{- 4}^{2} x d x + \int_{- 4}^{2} 2 d x

\int_{- 4}^{2} x d x = - 6

\int_{- 4}^{2} 2 d x = 12

= - (- 6) + 12

Vereinfache

= 18

\int_{0}^{5} x^{2} - x d x

\int_{- 1}^{1} \frac{1}{16 - 9 x ^{2}} d x

\int_{- π}^{0} - x \cdot cos (n x) d x

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

\int_{1}^{4} (10 - x) d x