integral from-4 to 4 of x-2

Lösung

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

- 16

Schritte zur Lösung

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

\int_{- 4}^{4} x d x = 0

\int_{- 4}^{4} 2 d x = 16

= 0 - 16

Vereinfache

= - 16

\int_{0}^{4} \frac{1}{e ^{x} + 1} d x

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

\int_{2}^{3} \frac{1}{x ^{2} - 6 x + 10} d x

\int_{1}^{4} \frac{x}{1 + x ^{2}} d x

\int_{- 3}^{0} (\frac{y}{3} + y + 4) d y