integral from 1 to infinity of 8/(x^5)

Lösung

\int_{1}^{\infty} \frac{8}{x ^{5}} d x

2

Schritte zur Lösung

\int_{1}^{\infty} \frac{8}{x ^{5}} d x

Berechne das unbestimmte Integral:

\int \frac{8}{x ^{5}} d x = - \frac{2}{x ^{4}} + C

Berechne die Grenzen:

\int_{1}^{\infty} \frac{8}{x ^{5}} d x = 0 - (- 2)

= 0 - (- 2)

Vereinfache

= 2

\int_{- \frac{π}{9}}^{\frac{π}{9}} sec^{3} (3 x) d x

\int_{4}^{14} \frac{1}{x} d x

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\int_{0}^{2} 5 + 4 x^{2} d x