integral from-1 to 3 of-x^3-5x+1

Lösung

\int_{- 1}^{3} - x^{3} - 5 x + 1 d x

- 36

Schritte zur Lösung

\int_{- 1}^{3} - x^{3} - 5 x + 1 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} x^{3} d x - \int_{- 1}^{3} 5 x d x + \int_{- 1}^{3} 1 d x

\int_{- 1}^{3} x^{3} d x = 20

\int_{- 1}^{3} 5 x d x = 20

\int_{- 1}^{3} 1 d x = 4

= - 20 - 20 + 4

Vereinfache

= - 36

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

\int_{- 1}^{2} 2 x^{3} - 8 x^{2} + 2 x + 12 d x

\int_{- 2}^{2} x^{2} - 3 x + 5 d x

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

\int_{0}^{1} y (e^{- y^{2}}) d y