integral from 1 to 9 of 10sqrt(u)

Lösung

\int_{1}^{9} 10 u d u

\frac{520}{3}

Dezimale

173.33333 \dots

Schritte zur Lösung

\int_{1}^{9} 10 u d u

Entferne die Konstante:

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

= 10 \cdot \int_{1}^{9} u d u

Wende die Potenzregel an

= 10 [\frac{2}{3} u^{\frac{3}{2}}]_{1}^{9}

Berechne die Grenzen:

\frac{52}{3}

= 10 \cdot \frac{52}{3}

Vereinfache

= \frac{520}{3}

\int_{- 1}^{1} x sin (x^{2}) d x

\int_{0}^{10} \frac{x}{16 + 2 x} d x

\int_{- 13}^{2} \frac{1}{3 - x} d x

\int_{1}^{2} 10 x^{3} + \frac{6}{x ^{2}} d x

\int_{- 3}^{0} (x^{3} + 2 x^{2} - 3 x) d x