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Beliebt Rechnen >

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

Lösung

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

Lösung

- \frac{4}{3}

+1

Dezimale

- 1.33333 \dots

Schritte zur Lösung

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

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

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

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

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

Vereinfache

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

= - \frac{4}{3}

Graph

Beliebte Beispiele

integral from-2 to 0 of (10x-e^x)

\int_{- 2}^{0} (10 x - e^{x}) d x

integral from 1 to 5 of 3/(x^3)

\int_{1}^{5} \frac{3}{x ^{3}} d x

integral from-1 to 2 of-2x+4

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

integral from-5 to 5 of 5

\int_{- 5}^{5} 5 d x

integral from 5 to 2 of x^3

\int_{5}^{2} x^{3} d x