integral from 2 to 3 of x^2-2

Lösung

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

\frac{13}{3}

Dezimale

4.33333 \dots

Schritte zur Lösung

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

\int_{2}^{3} x^{2} d x = \frac{19}{3}

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

= \frac{19}{3} - 2

Vereinfache

\frac{19}{3} - 2 : \frac{13}{3}

= \frac{13}{3}

\int_{- 1}^{2} (2 x^{2} - 2 x - 4) d x

\int_{0}^{2} \frac{12}{x ^{2} - 4} d x

\int_{1}^{\infty} x e^{x^{2}} d x

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

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