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Beliebt Rechnen >

integral from 1 to 2 of (7x+x^2)

Lösung

\int_{1}^{2} (7 x + x^{2}) d x

Lösung

\frac{77}{6}

+1

Dezimale

12.83333 \dots

Schritte zur Lösung

\int_{1}^{2} 7 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}^{2} 7 x d x + \int_{1}^{2} x^{2} d x

\int_{1}^{2} 7 x d x = \frac{21}{2}

\int_{1}^{2} x^{2} d x = \frac{7}{3}

= \frac{21}{2} + \frac{7}{3}

Vereinfache

\frac{21}{2} + \frac{7}{3} : \frac{77}{6}

= \frac{77}{6}

Graph

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y^{^{''}} + 11 y^{^{'}} + 30 y = 0, y (0) = 1, y^{^{'}} (0) = 0