integral from-1 to 3 of (7-2x)

Lösung

\int_{- 1}^{3} (7 - 2 x) d x

20

Schritte zur Lösung

\int_{- 1}^{3} 7 - 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_{- 1}^{3} 7 d x - \int_{- 1}^{3} 2 x d x

\int_{- 1}^{3} 7 d x = 28

\int_{- 1}^{3} 2 x d x = 8

= 28 - 8

Vereinfache

= 20

\int_{1}^{3} (2 x - 1)^{2} d x

\int_{- 2}^{2} 19 - ∣ x ∣^{3} d x

\int_{0}^{π \frac{1}{2}} e^{- x^{2}} d x

\int_{- 4}^{0} x^{3} 256 - x^{4} d x

\int_{0}^{x} (4 - t^{2}) e^{t^{2}} d t