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

Lösung

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

\frac{4 \cdot 2 ^{\frac{1}{2}} - 2}{3}

Dezimale

1.21895 \dots

Schritte zur Lösung

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

Wende die Potenzregel an

= [\frac{2}{3} x^{\frac{3}{2}}]_{1}^{2}

Berechne die Grenzen:

\frac{4 \cdot 2 ^{\frac{1}{2}}}{3} - \frac{2}{3}

= \frac{4 \cdot 2 ^{\frac{1}{2}}}{3} - \frac{2}{3}

Vereinfache

= \frac{4 \cdot 2 ^{\frac{1}{2}} - 2}{3}

\int \frac{6}{3 x - 2} d x

\frac{\partial}{\partial y} (x^{2} + y^{2} - 4)

\int arcsin (x) d x

\frac{d}{d x} (2 x^{3} - 6 x^{2} - 18 x - 24)

d er i v a t i v e 5 \frac{5 x}{4 x - 3}