integral from-1 to 2 of 2+x-x^2

Lösung

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

\frac{9}{2}

Dezimale

4.5

Schritte zur Lösung

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

\int_{- 1}^{2} 2 d x = 6

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

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

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

Vereinfache

6 + \frac{3}{2} - 3 : \frac{9}{2}

= \frac{9}{2}

\int_{0}^{t} 2 e^{2 x} d x

\int_{0}^{2} e^{- s t} t d t

\int_{0}^{3} 6 e^{2 x} d x

\int_{- 2}^{3} 7 d x

\int_{1}^{6} (7 x + 1) d x