integral from 10 to infinity of 1/(x^6)

Lösung

\int_{10}^{\infty} \frac{1}{x ^{6}} d x

\frac{1}{500000}

Dezimale

0.000002

Schritte zur Lösung

\int_{10}^{\infty} \frac{1}{x ^{6}} d x

Berechne das unbestimmte Integral:

\int \frac{1}{x ^{6}} d x = - \frac{1}{5 x ^{5}} + C

Berechne die Grenzen:

\int_{10}^{\infty} \frac{1}{x ^{6}} d x = 0 - (- \frac{1}{500000})

= 0 - (- \frac{1}{500000})

Vereinfache

= \frac{1}{500000}

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