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

Lösung

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

- \frac{9}{2}

Dezimale

- 4.5

Schritte zur Lösung

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

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

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

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

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

Vereinfache

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

= - \frac{9}{2}

\int_{0}^{2 π} 2 d x

\int_{0}^{π} 2 d x

\int_{1}^{9} x 3 1 - x d x

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

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