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Beliebt Rechnen >

integral from 1 to 4 of 5/(sqrt(x))

Lösung

\int_{1}^{4} \frac{5}{x} d x

Lösung

10

Schritte zur Lösung

\int_{1}^{4} \frac{5}{x} d x

Entferne die Konstante:

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

= 5 \cdot \int_{1}^{4} \frac{1}{x} d x

Wende die Potenzregel an

= 5 [2 x^{\frac{1}{2}}]_{1}^{4}

Wende Radikal Regel an:

a^{\frac{1}{n}} = n a

= 5 [2 x]_{1}^{4}

Berechne die Grenzen:

2

= 5 \cdot 2

Vereinfache

= 10

Graph

Beliebte Beispiele

\frac{d x}{d t} = - a x

integral from 3 to 7 of x/(x^2-2)

\int_{3}^{7} \frac{x}{x ^{2} - 2} d x

tangent y=x^2-5x+5(0.5)

t an g e n t y = x^{2} - 5 x + 5 (0.5)

derivative F(s)=ln(ln(6s))

d er i v a t i v e F (s) = ln (ln (6 s))

integral from 0 to pi/2 of sec(x)

\int_{0}^{\frac{π}{2}} sec (x) d x