integral from 2 to 4 of (2x+3)

Lösung

\int_{2}^{4} (2 x + 3) d x

18

Schritte zur Lösung

\int_{2}^{4} 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_{2}^{4} 2 x d x + \int_{2}^{4} 3 d x

\int_{2}^{4} 2 x d x = 12

\int_{2}^{4} 3 d x = 6

= 12 + 6

Vereinfache

= 18

\int_{0}^{1} x arccot (x) d x

\int_{0}^{6} (x + 1) d x

\int_{1}^{2} \frac{x}{y} + \frac{y}{x} d y

\int_{1}^{2 x} \frac{1}{1 + t ^{3}} d t

\int_{0}^{2} 2 x 12 - x^{2} d x