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

Lösung

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

\frac{200}{3}

Dezimale

66.66666 \dots

Schritte zur Lösung

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

\int_{4}^{6} x^{2} d x = \frac{152}{3}

\int_{4}^{6} 2 x d x = 20

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

= \frac{152}{3} + 20 - 4

Vereinfache

\frac{152}{3} + 20 - 4 : \frac{200}{3}

= \frac{200}{3}

l a pl a ce t r an s f or m \frac{t}{π}

\int \frac{2 x - 5}{x ^{2} - 5 x - 1} d x

\frac{\partial}{\partial x} (sin (x y) + x cos (y))

\frac{d}{d x} (\frac{x - x}{x ^{\frac{1}{9}}})

a re a y = 2 x + 5, y = 14 - x^{2}, (- 1, 2)