integral from 3 to 6 of (x^2+x)

Lösung

\int_{3}^{6} (x^{2} + x) d x

\frac{153}{2}

Dezimale

76.5

Schritte zur Lösung

\int_{3}^{6} x^{2} + 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_{3}^{6} x^{2} d x + \int_{3}^{6} x d x

\int_{3}^{6} x^{2} d x = 63

\int_{3}^{6} x d x = \frac{27}{2}

= 63 + \frac{27}{2}

Vereinfache

63 + \frac{27}{2} : \frac{153}{2}

= \frac{153}{2}