integral from 0 to 4 of (3-x)

Lösung

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

4

Schritte zur Lösung

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

\int_{0}^{4} 3 d x = 12

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

= 12 - 8

Vereinfache

= 4

\int_{- 2}^{4} x ∣ x - 3 ∣ d x

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

\int_{1}^{2} (z + \frac{2}{z}) \cdot (z - \frac{2}{z}) d z

\int_{0}^{1} x 35 x^{2} + 1 d x

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