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Beliebt Rechnen >

integral from 4 to e^5 of 1/x

Lösung

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

Lösung

5 - 2 ln (2)

+1

Dezimale

3.61370 \dots

Schritte zur Lösung

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

Nutze das gemeinsame Integral :

\int \frac{1}{x} d x = ln (∣ x ∣)

= [ln ∣ x ∣]_{4}^{e^{5}}

Berechne die Grenzen:

5 - 2 ln (2)

= 5 - 2 ln (2)

Graph

Beliebte Beispiele

(d^3)/(dx^3)(1/(1+x))

\frac{d ^{3}}{d x ^{3}} (\frac{1}{1 + x})

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d er i v a t i v e y = \frac{4 x}{e ^{x}}

integral from-1 to x^3 of t^5

\int_{- 1}^{x^{3}} t^{5} d t

integral of 3tan^2(x)sec^2(x)

\int 3 tan^{2} (x) sec^{2} (x) d x

(\partial)/(\partial x)((xy)/(4x+3y))

\frac{\partial}{\partial x} (\frac{x y}{4 x + 3 y})