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Beliebt Rechnen >

integral from 2 to infinity of 1/(x^5)

Lösung

\int_{2}^{\infty} \frac{1}{x ^{5}} d x

Lösung

\frac{1}{64}

+1

Dezimale

0.015625

Schritte zur Lösung

\int_{2}^{\infty} \frac{1}{x ^{5}} d x

Berechne das unbestimmte Integral:

\int \frac{1}{x ^{5}} d x = - \frac{1}{4 x ^{4}} + C

Berechne die Grenzen:

\int_{2}^{\infty} \frac{1}{x ^{5}} d x = 0 - (- \frac{1}{64})

= 0 - (- \frac{1}{64})

Vereinfache

= \frac{1}{64}

Beliebte Beispiele

integral of xe^{(x^2)/2}

\int x e^{\frac{x ^{2}}{2}} d x

limit as x approaches pi of 3arctan(x)

x \to π lim (3 arctan (x))

derivative (x^2-1)/(x+3)

d er i v a t i v e \frac{x ^{2} - 1}{x + 3}

(\partial)/(\partial y)(x^3)

\frac{\partial}{\partial y} (x^{3})

(x^4+y^4)dx-xy^3dy=0

(x^{4} + y^{4}) d x - x y^{3} d y = 0