integral from 2 to 3 of-x^2+5x-6

Lösung

\int_{2}^{3} - x^{2} + 5 x - 6 d x

\frac{1}{6}

Dezimale

0.16666 \dots

Schritte zur Lösung

\int_{2}^{3} - x^{2} + 5 x - 6 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} 5 x d x - \int_{2}^{3} 6 d x

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

\int_{2}^{3} 5 x d x = \frac{25}{2}

\int_{2}^{3} 6 d x = 6

= - \frac{19}{3} + \frac{25}{2} - 6

Vereinfache

- \frac{19}{3} + \frac{25}{2} - 6 : \frac{1}{6}

= \frac{1}{6}

\int_{0}^{2} 5 x^{4} d x

\int_{1}^{2} \frac{1}{x 4 + x ^{2}} d x

\int_{0}^{2} (6 x - 6) (4 x^{2} + 5) d x

\int_{- 1}^{5} 6 x^{5} d x

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