integral from 3 to infinity of 3/(x^6)

Lösung

\int_{3}^{\infty} \frac{3}{x ^{6}} d x

\frac{1}{405}

Dezimale

0.00246 \dots

Schritte zur Lösung

\int_{3}^{\infty} \frac{3}{x ^{6}} d x

Berechne das unbestimmte Integral:

\int \frac{3}{x ^{6}} d x = - \frac{3}{5 x ^{5}} + C

Berechne die Grenzen:

\int_{3}^{\infty} \frac{3}{x ^{6}} d x = 0 - (- \frac{1}{405})

= 0 - (- \frac{1}{405})

Vereinfache

= \frac{1}{405}

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