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

Lösung

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

\frac{15}{2}

Dezimale

7.5

Schritte zur Lösung

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

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

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

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

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

Vereinfache

3 - \frac{3}{2} + 6 : \frac{15}{2}

= \frac{15}{2}

\int_{- 1}^{1} \frac{5}{1 + 25 x ^{2}} d x

\int_{y}^{y^{2}} (x + 2 y) d x

\int_{0}^{3} (1 + 2 x)^{2} d x

\int_{0}^{1} x^{2} + x^{4} d x

\int_{1}^{5} - x^{2} + 4 x d x