integral from 1 to 36 of sqrt(5/x)

Lösung

\int_{1}^{36} \frac{5}{x} d x

105

Dezimale

22.36067 \dots

Schritte zur Lösung

\int_{1}^{36} \frac{5}{x} d x

Wende die partielle Integration an

= [\frac{5}{x} x - \int - \frac{5}{2 x ^{\frac{1}{2}}} d x]_{1}^{36}

\int - \frac{5}{2 x ^{\frac{1}{2}}} d x = - 5 x

= [\frac{5}{x} x - (- 5 x)]_{1}^{36}

Vereinfache

= [\frac{5}{x} x + 5 x]_{1}^{36}

Berechne die Grenzen:

105

= 105

\int_{4}^{5} 3 x d x

\int_{2}^{4} 5^{3 x} d x

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

\int_{- 6}^{2} - x^{2} - 3 x d x

\int_{0}^{2} (4 x) d x