integral from-1 to 2 of 4x^3+8x+3

Lösung

\int_{- 1}^{2} 4 x^{3} + 8 x + 3 d x

36

Schritte zur Lösung

\int_{- 1}^{2} 4 x^{3} + 8 x + 3 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}^{2} 4 x^{3} d x + \int_{- 1}^{2} 8 x d x + \int_{- 1}^{2} 3 d x

\int_{- 1}^{2} 4 x^{3} d x = 15

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

\int_{- 1}^{2} 3 d x = 9

= 15 + 12 + 9

Vereinfache

= 36

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

\int_{0}^{2} x^{2} e^{3 x} d x

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

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

\int_{0}^{π} 2 x cos (x^{2}) d x