integral from-1 to 1 of 3x^3-2x+5

Lösung

\int_{- 1}^{1} 3 x^{3} - 2 x + 5 d x

10

Schritte zur Lösung

\int_{- 1}^{1} 3 x^{3} - 2 x + 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_{- 1}^{1} 3 x^{3} d x - \int_{- 1}^{1} 2 x d x + \int_{- 1}^{1} 5 d x

\int_{- 1}^{1} 3 x^{3} d x = 0

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

\int_{- 1}^{1} 5 d x = 10

= 0 - 0 + 10

Vereinfache

= 10

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

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

\int_{1}^{4} (x^{\frac{1}{2}} - x^{2}) d x

\int_{4}^{8} 9 d x

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