integral from 2 to 4 of x+5x^2

Lösung

\int_{2}^{4} x + 5 x^{2} d x

\frac{298}{3}

Dezimale

99.33333 \dots

Schritte zur Lösung

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

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

\int_{2}^{4} 5 x^{2} d x = \frac{280}{3}

= 6 + \frac{280}{3}

Vereinfache

6 + \frac{280}{3} : \frac{298}{3}

= \frac{298}{3}

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