integral from 2 to 3 of (x^2-8x+12)

Lösung

\int_{2}^{3} (x^{2} - 8 x + 12) d x

- \frac{5}{3}

Dezimale

- 1.66666 \dots

Schritte zur Lösung

\int_{2}^{3} x^{2} - 8 x + 12 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} 8 x d x + \int_{2}^{3} 12 d x

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

\int_{2}^{3} 8 x d x = 20

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

= \frac{19}{3} - 20 + 12

Vereinfache

\frac{19}{3} - 20 + 12 : - \frac{5}{3}

= - \frac{5}{3}

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

\int_{0}^{1} e^{t x} d x

\int_{0}^{1} 4 x + 5 d x

\int_{1}^{2} \frac{x + 1}{x} d x

\int_{- \frac{π}{3}}^{0} sin (x) d x