integral from-2 to 2 of (-x^2+3)

Lösung

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

\frac{20}{3}

Dezimale

6.66666 \dots

Schritte zur Lösung

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

\int_{- 2}^{2} x^{2} d x = \frac{16}{3}

\int_{- 2}^{2} 3 d x = 12

= - \frac{16}{3} + 12

Vereinfache

- \frac{16}{3} + 12 : \frac{20}{3}

= \frac{20}{3}

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

\int_{1}^{t^{2}} arctan (u) d u

\int_{0}^{π} 2 sin (t) d t

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

\int_{0}^{4 - z^{2}} z d z