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

Lösung

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

\frac{5}{4 x ^{4}}

Schritte zur Lösung

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

Berechne das unbestimmte Integral:

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

Berechne die Grenzen:

\int_{x}^{\infty} \frac{5}{x ^{5}} d x = 0 - (- \frac{5}{4 x ^{4}})

= 0 - (- \frac{5}{4 x ^{4}})

Vereinfache

= \frac{5}{4 x ^{4}}

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