integral from 2 to infinity of 5/(x^3)

Lösung

\int_{2}^{\infty} \frac{5}{x ^{3}} d x

\frac{5}{8}

Dezimale

0.625

Schritte zur Lösung

\int_{2}^{\infty} \frac{5}{x ^{3}} d x

Berechne das unbestimmte Integral:

\int \frac{5}{x ^{3}} d x = - \frac{5}{2 x ^{2}} + C

Berechne die Grenzen:

\int_{2}^{\infty} \frac{5}{x ^{3}} d x = 0 - (- \frac{5}{8})

= 0 - (- \frac{5}{8})

Vereinfache

= \frac{5}{8}

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