integral from 1 to infinity of 7/(x^7)

Lösung

\int_{1}^{\infty} \frac{7}{x ^{7}} d x

\frac{7}{6}

Dezimale

1.16666 \dots

Schritte zur Lösung

\int_{1}^{\infty} \frac{7}{x ^{7}} d x

Berechne das unbestimmte Integral:

\int \frac{7}{x ^{7}} d x = - \frac{7}{6 x ^{6}} + C

Berechne die Grenzen:

\int_{1}^{\infty} \frac{7}{x ^{7}} d x = 0 - (- \frac{7}{6})

= 0 - (- \frac{7}{6})

Vereinfache

= \frac{7}{6}

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