integral from-1 to 2 of (x^2-3x-1)

Lösung

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

- \frac{9}{2}

Dezimale

- 4.5

Schritte zur Lösung

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

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

\int_{- 1}^{2} 3 x d x = \frac{9}{2}

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

= 3 - \frac{9}{2} - 3

Vereinfache

= - \frac{9}{2}

\int_{1}^{3} (8 - 2 x) d x

\int_{0}^{\frac{1}{2}} \frac{1}{1 + x ^{2}} d x

\int_{0}^{2 π} 4 d t

\int_{- 2}^{3} (4 x - 5) d x

\int_{0}^{3} \frac{1}{3} x^{3} d x