integral from-1 to 1 of (x^2-1)

Lösung

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

- \frac{4}{3}

Dezimale

- 1.33333 \dots

Schritte zur Lösung

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

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

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

= \frac{2}{3} - 2

Vereinfache

\frac{2}{3} - 2 : - \frac{4}{3}

= - \frac{4}{3}

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

d er i v a t i v e f (x) = 6 x^{2} (x - 9)

\frac{\partial}{\partial x} (\frac{2}{x ^{3}})

\int \frac{4 x ^{2} - 9}{x} d x

x \to 2 lim (\frac{x ^{2} - 4}{2 - x})