integral from 5.5 to 10 of (1/2 x)+5.5

Lösung

\int_{5.5}^{10} (\frac{1}{2} x) + 5.5 d x

42.1875

Schritte zur Lösung

\int_{5.5}^{10} \frac{1}{2} x + 5.5 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_{5.5}^{10} \frac{1}{2} x d x + \int_{5.5}^{10} 5.5 d x

\int_{5.5}^{10} \frac{1}{2} x d x = 17.4375

\int_{5.5}^{10} 5.5 d x = 24.75

= 17.4375 + 24.75

Vereinfache

= 42.1875

\int_{1}^{2} \frac{ln ( 2 x )}{2 x} d x

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

\int_{1}^{s i n (x)} 4 t^{3} d t

\int_{0}^{\frac{1}{4}} sin^{2} (π x) d x

\int_{4}^{e^{x}} (y^{4} sin (y)) d y