integral from-4 to 6 of (x/2+6)

Lösung

\int_{- 4}^{6} (\frac{x}{2} + 6) d x

65

Schritte zur Lösung

\int_{- 4}^{6} \frac{x}{2} + 6 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}^{6} \frac{x}{2} d x + \int_{- 4}^{6} 6 d x

\int_{- 4}^{6} \frac{x}{2} d x = 5

\int_{- 4}^{6} 6 d x = 60

= 5 + 60

Vereinfache

= 65

\frac{\partial}{\partial x} (x + 2 y + 3 z)

\int_{0}^{0.6} 10000 x d x

d er i v a t i v e 9 x^{3}

\frac{d}{d t} (\frac{3 t ^{2}}{1 + 4 t ^{2} + 9 t ^{4}})

\int e^{x^{2}} x^{3} d x