integral from 2 to 3 of 3x^2+2x

Lösung

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

24

Schritte zur Lösung

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

\int_{2}^{3} 3 x^{2} d x = 19

\int_{2}^{3} 2 x d x = 5

= 19 + 5

Vereinfache

= 24

\int_{0}^{a} (b sin (c x) + d) d x

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

\int_{100}^{s} \frac{1}{0.2 s} d s

\int_{0}^{2 π} 7 x 2 d x

\int_{0}^{1} e^{- 10 x} d x