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

Lösung

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

36

Schritte zur Lösung

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

\int_{- 3}^{3} x^{2} d x = 18

\int_{- 3}^{3} 2 x d x = 0

\int_{- 3}^{3} 3 d x = 18

= 18 + 0 + 18

Vereinfache

= 36

\int_{\frac{y}{2}}^{1} (y e^{x^{3}}) d x

\int_{1}^{4} \frac{18 ( ln ( x ) ) ^{5}}{x} d x

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

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

\int_{- y}^{y} c (y^{2} - x^{2}) e^{- y} d x