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Beliebt Rechnen >

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

Lösung

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

Lösung

\frac{1}{a}

Schritte zur Lösung

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

Berechne das unbestimmte Integral:

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

Berechne die Grenzen:

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

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

Vereinfache

= \frac{1}{a}

Beliebte Beispiele

integral of x(18x+6)

\int x (18 x + 6) d x

integral from 0 to infinity of ye^{-3y}

\int_{0}^{\infty} y e^{- 3 y} d y

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

\frac{d}{d x} (\frac{x ^{2} - 1}{x ^{3} + 1})

laplacetransform 12t^3-t^2

l a pl a ce t r an s f or m 12 t^{3} - t^{2}

derivative of 2x-4/(sqrt(x))

\frac{d}{d x} (2 x - \frac{4}{x})