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

Lösung

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

4

Schritte zur Lösung

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

\int_{- 1}^{1} \frac{1}{2} x^{3} d x = 0

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

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

= 0 - 0 + 4

Vereinfache

= 4

\int \frac{1}{x ^{3}} sin (\frac{1}{x}) d x

y^{^{''}} - 2 y^{^{'}} - 3 y = 24 t e^{2 t}, y (0) = 5, y^{^{'}} (0) = 0

d er i v a t i v e f (x) = \frac{1 + 3 x}{1 - 3 x}

\int \frac{x ^{3}}{x ^{2} - 9} d x

t a y l or sin (2 x), 0