integral from 0 to 3 of (x^2+2)

Lösung

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

15

Schritte zur Lösung

\int_{0}^{3} x^{2} + 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_{0}^{3} x^{2} d x + \int_{0}^{3} 2 d x

\int_{0}^{3} x^{2} d x = 9

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

= 9 + 6

Vereinfache

= 15

\int_{0}^{4} 3 x^{\frac{1}{2}} - (2 x - 2) d x

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

\int_{- 6}^{6} 36 - x^{2} d x

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

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