integral from 0 to 3 of (3x^2+x-2)

Lösung

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

\frac{51}{2}

Dezimale

25.5

Schritte zur Lösung

\int_{0}^{3} 3 x^{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_{0}^{3} 3 x^{2} d x + \int_{0}^{3} x d x - \int_{0}^{3} 2 d x

\int_{0}^{3} 3 x^{2} d x = 27

\int_{0}^{3} x d x = \frac{9}{2}

\int_{0}^{3} 2 d x = 6

= 27 + \frac{9}{2} - 6

Vereinfache

27 + \frac{9}{2} - 6 : \frac{51}{2}

= \frac{51}{2}

\int x^{3} + 3 x^{2} d x

y^{^{''}} - 4 y^{^{'}} + 4 y = 5 t^{- 1} e^{2 t}

\frac{d}{d x} (x^{e x})

\frac{\partial}{\partial x} (x^{2} (x - y)^{- 2})

\frac{d}{d x} (\frac{1}{3 ( x + 2 ) ^{\frac{2}{3}}})