integral from 0 to 4 of (x-3sqrt(x))

Lösung

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

- 8

Schritte zur Lösung

\int_{0}^{4} x - 3 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_{0}^{4} x d x - \int_{0}^{4} 3 x d x

\int_{0}^{4} x d x = 8

\int_{0}^{4} 3 x d x = 16

= 8 - 16

Vereinfache

= - 8

\int_{0}^{1} 2 d x

\int_{0}^{5} y^{2} d y

\int_{1}^{e} \frac{t ^{3} + 1}{t} d t

\int_{0}^{π} cos^{2} (x) \cdot sin (x) d x

\int_{0}^{2} (2 x - 3) (4 x^{2} + 7) d x