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Beliebt Rechnen >

integral from 1 to infinity of 6/(x^6)

Lösung

\int_{1}^{\infty} \frac{6}{x ^{6}} d x

Lösung

\frac{6}{5}

+1

Dezimale

1.2

Schritte zur Lösung

\int_{1}^{\infty} \frac{6}{x ^{6}} d x

Berechne das unbestimmte Integral:

\int \frac{6}{x ^{6}} d x = - \frac{6}{5 x ^{5}} + C

Berechne die Grenzen:

\int_{1}^{\infty} \frac{6}{x ^{6}} d x = 0 - (- \frac{6}{5})

= 0 - (- \frac{6}{5})

Vereinfache

= \frac{6}{5}

Beliebte Beispiele

integral from 0 to 12 of xsqrt(12-x)

\int_{0}^{12} x 12 - x d x

integral from 0 to 1 of-4

\int_{0}^{1} - 4 d x

integral from 0 to 3pi of e^{x^2}sin(x)

\int_{0}^{3 π} e^{x^{2}} sin (x) d x

integral from 1 to 4 of x^3-1

\int_{1}^{4} x^{3} - 1 d x

integral from 4 to 2 of 6x

\int_{4}^{2} 6 x d x