integral from 2 to 5 of (-3x+4)

Lösung

\int_{2}^{5} (- 3 x + 4) d x

- \frac{39}{2}

Dezimale

- 19.5

Schritte zur Lösung

\int_{2}^{5} - 3 x + 4 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_{2}^{5} 3 x d x + \int_{2}^{5} 4 d x

\int_{2}^{5} 3 x d x = \frac{63}{2}

\int_{2}^{5} 4 d x = 12

= - \frac{63}{2} + 12

Vereinfache

- \frac{63}{2} + 12 : - \frac{39}{2}

= - \frac{39}{2}

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