integral from 4 to infinity of 6/(x^4)

Lösung

\int_{4}^{\infty} \frac{6}{x ^{4}} d x

\frac{1}{32}

Dezimale

0.03125

Schritte zur Lösung

\int_{4}^{\infty} \frac{6}{x ^{4}} d x

Berechne das unbestimmte Integral:

\int \frac{6}{x ^{4}} d x = - \frac{2}{x ^{3}} + C

Berechne die Grenzen:

\int_{4}^{\infty} \frac{6}{x ^{4}} d x = 0 - (- \frac{1}{32})

= 0 - (- \frac{1}{32})

Vereinfache

= \frac{1}{32}

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