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_{0}^{1} y (y + \frac{1}{2}) d y

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

\int_{0}^{l n (3)} 4 e^{2 x} d x

\int_{1}^{4} (x + 1) d x

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