integral from 5 to 1 of x^2

Lösung

\int_{5}^{1} x^{2} d x

- \frac{124}{3}

Dezimale

- 41.33333 \dots

Schritte zur Lösung

\int_{5}^{1} x^{2} d x

\int_{a}^{b} f (x) d x = - \int_{b}^{a} f (x) d x, a < b

= - \int_{1}^{5} x^{2} d x

Wende die Potenzregel an

= - [\frac{x ^{3}}{3}]_{1}^{5}

Berechne die Grenzen:

\frac{124}{3}

= - \frac{124}{3}

\int_{1}^{3} - \frac{1}{2} x + 5 d x

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