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Beliebt Rechnen >

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

Lösung

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

Lösung

6

Schritte zur Lösung

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

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

\int_{- 1}^{2} 4 x d x = 6

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

= 3 - 6 + 9

Vereinfache

= 6

Graph

Beliebte Beispiele

derivative of 1/2 x+3

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

integral of e^{2x}-1/2 e^{x/2}

\int e^{2 x} - \frac{1}{2} e^{\frac{x}{2}} d x

derivative of e^{-x}+x/3

\frac{d}{d x} (e^{- x} + \frac{x}{3})

limit as x approaches infinity of |x|

x \to \infty lim (∣ x ∣)

integral of 1/((3x+4)(4x-1))

\int \frac{1}{( 3 x + 4 ) ( 4 x - 1 )} d x