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Beliebt Rechnen >

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

Lösung

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

Lösung

- \frac{4}{3}

+1

Dezimale

- 1.33333 \dots

Schritte zur Lösung

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

\int_{1}^{3} x^{2} d x = \frac{26}{3}

\int_{1}^{3} 4 x d x = 16

\int_{1}^{3} 3 d x = 6

= \frac{26}{3} - 16 + 6

Vereinfache

\frac{26}{3} - 16 + 6 : - \frac{4}{3}

= - \frac{4}{3}

Graph

Beliebte Beispiele

integral of (x^2)/(e^{7x)}

\int \frac{x ^{2}}{e ^{7 x}} d x

integral of 1/(x^2-5x+6)

\int \frac{1}{x ^{2} - 5 x + 6} d x

limit as x approaches-2 of (x+2)/(x-2)

x \to - 2 lim (\frac{x + 2}{x - 2})

limit as x approaches infinity of 7/x

x \to \infty lim (\frac{7}{x})

tangent (3x+1)/(x^2+1)

t an g e n t \frac{3 x + 1}{x ^{2} + 1}