integral from 4 to 0 of x^{1/2}

Lösung

\int_{4}^{0} x^{\frac{1}{2}} d x

- \frac{16}{3}

Dezimale

- 5.33333 \dots

Schritte zur Lösung

\int_{4}^{0} x^{\frac{1}{2}} d x

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

= - \int_{0}^{4} x^{\frac{1}{2}} d x

Wende die Potenzregel an

= - [\frac{2}{3} x^{\frac{3}{2}}]_{0}^{4}

Berechne die Grenzen:

\frac{16}{3}

= - \frac{16}{3}

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