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Beliebt Rechnen >

integral from 1 to infinity of x*3/(x^4)

Lösung

\int_{1}^{\infty} x \cdot \frac{3}{x ^{4}} d x

Lösung

\frac{3}{2}

+1

Dezimale

1.5

Schritte zur Lösung

\int_{1}^{\infty} x \frac{3}{x ^{4}} d x

Berechne das unbestimmte Integral:

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

Berechne die Grenzen:

\int_{1}^{\infty} x \frac{3}{x ^{4}} d x = 0 - (- \frac{3}{2})

= 0 - (- \frac{3}{2})

Vereinfache

= \frac{3}{2}

Beliebte Beispiele

integral from 0 to 4 of 1/(36x^2+25)

\int_{0}^{4} \frac{1}{36 x ^{2} + 25} d x

integral from 5 to 15 of x

\int_{5}^{15} x d x

integral from 0 to 1 of f(u)

\int_{0}^{1} f (u) d u

integral from 1 to 6 of 8/x

\int_{1}^{6} \frac{8}{x} d x

integral from-x to x of sqrt(1+t^2)

\int_{- x}^{x} 1 + t^{2} d t