integral from-2 to 0 of xsqrt(4-x^2)

Lösung

\int_{- 2}^{0} x 4 - x^{2} d x

- \frac{8}{3}

Dezimale

- 2.66666 \dots

Schritte zur Lösung

\int_{- 2}^{0} x 4 - x^{2} d x

Wende U-Substitution an

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

Entferne die Konstante:

\int a \cdot f (x) d x = a \cdot \int f (x) d x

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

Wende die Potenzregel an

= - \frac{1}{2} [\frac{2}{3} u^{\frac{3}{2}}]_{0}^{4}

Berechne die Grenzen:

\frac{16}{3}

= - \frac{1}{2} \cdot \frac{16}{3}

Vereinfache

= - \frac{8}{3}

a re a f (x) = \frac{1}{x}, [1, 3]

\int_{0}^{2} t^{3} (2 + t^{4})^{3} d t

\int_{0}^{8} 2 π y (y^{\frac{2}{3}}) d y

\int x^{13} sin (x^{7}) d x

t an g e n t (3 x + 72 at (3.9))