integral from 1 to infinity of 1/(x^9)

Lösung

\int_{1}^{\infty} \frac{1}{x ^{9}} d x

\frac{1}{8}

Dezimale

0.125

Schritte zur Lösung

\int_{1}^{\infty} \frac{1}{x ^{9}} d x

Berechne das unbestimmte Integral:

\int \frac{1}{x ^{9}} d x = - \frac{1}{8 x ^{8}} + C

Berechne die Grenzen:

\int_{1}^{\infty} \frac{1}{x ^{9}} d x = 0 - (- \frac{1}{8})

= 0 - (- \frac{1}{8})

Vereinfache

= \frac{1}{8}

\frac{d N}{d t} = N (1 - 0.0008 N)

\frac{d}{d x} (7 x (x^{3} - 3 x + 2))

\int x^{2} (x + 3)^{2} d x

a re a y = e^{- x}, y = 0, x = 0, x = ln (5)

x \to 3 lim (a x + 3)