integral from-2 to 2 of 2x^2-8

Lösung

\int_{- 2}^{2} 2 x^{2} - 8 d x

- \frac{64}{3}

Dezimale

- 21.33333 \dots

Schritte zur Lösung

\int_{- 2}^{2} 2 x^{2} - 8 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}^{2} 2 x^{2} d x - \int_{- 2}^{2} 8 d x

\int_{- 2}^{2} 2 x^{2} d x = \frac{32}{3}

\int_{- 2}^{2} 8 d x = 32

= \frac{32}{3} - 32

Vereinfache

\frac{32}{3} - 32 : - \frac{64}{3}

= - \frac{64}{3}

\int_{2}^{3} x d x

\int_{0}^{1} \frac{x ( - x ^{2} + 1 ) ^{\frac{3}{2}}}{3} d x

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

\int_{\frac{π}{4}}^{\frac{π}{3}} csc^{2} (x) d x

\int_{0}^{π} t d t