integral from 5 to infinity of 1/(x^4)

Lösung

\int_{5}^{\infty} \frac{1}{x ^{4}} d x

\frac{1}{375}

Dezimale

0.00266 \dots

Schritte zur Lösung

\int_{5}^{\infty} \frac{1}{x ^{4}} d x

Berechne das unbestimmte Integral:

\int \frac{1}{x ^{4}} d x = - \frac{1}{3 x ^{3}} + C

Berechne die Grenzen:

\int_{5}^{\infty} \frac{1}{x ^{4}} d x = 0 - (- \frac{1}{375})

= 0 - (- \frac{1}{375})

Vereinfache

= \frac{1}{375}

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