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

Lösung

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

\frac{9}{2}

Dezimale

4.5

Schritte zur Lösung

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

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

\int_{- 1}^{2} 2 d x = 6

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

= \frac{3}{2} + 6 - 3

Vereinfache

\frac{3}{2} + 6 - 3 : \frac{9}{2}

= \frac{9}{2}

x \to 30 lim (\frac{( sin ( x ) )}{x})

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

\frac{d}{d x} (\frac{2 x ^{2} + 8 x + 2}{x})

\frac{d y}{d x} = 2 - 2 x - y + 3

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