integral from 0 to 3 of x(x-7)

Lösung

\int_{0}^{3} x (x - 7) d x

- \frac{45}{2}

Dezimale

- 22.5

Schritte zur Lösung

\int_{0}^{3} x (x - 7) d x

Multipliziere aus

x (x - 7) : x^{2} - 7 x

= \int_{0}^{3} x^{2} - 7 x 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_{0}^{3} x^{2} d x - \int_{0}^{3} 7 x d x

\int_{0}^{3} x^{2} d x = 9

\int_{0}^{3} 7 x d x = \frac{63}{2}

= 9 - \frac{63}{2}

Vereinfache

9 - \frac{63}{2} : - \frac{45}{2}

= - \frac{45}{2}

\int_{1}^{2} \frac{d}{1} (3 + 5 t^{4}) d x

\int_{1}^{4} (\frac{3 x ^{2} + 9 x + 1}{x}) d x

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\int_{0}^{6} \frac{x}{3} d x