integral from 10 to infinity of 1/(x^5)

Lösung

\int_{10}^{\infty} \frac{1}{x ^{5}} d x

\frac{1}{40000}

Dezimale

0.000025

Schritte zur Lösung

\int_{10}^{\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_{10}^{\infty} \frac{1}{x ^{5}} d x = 0 - (- \frac{1}{40000})

= 0 - (- \frac{1}{40000})

Vereinfache

= \frac{1}{40000}

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\int_{1}^{3} 10 x^{4} d x

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