integral from 1 to infinity of x^{-6}

Lösung

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

\frac{1}{5}

Dezimale

0.2

Schritte zur Lösung

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

Berechne das unbestimmte Integral:

\int x^{- 6} d x = - \frac{1}{5 x ^{5}} + C

Berechne die Grenzen:

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

= 0 - (- \frac{1}{5})

Vereinfache

= \frac{1}{5}

\int_{0}^{1} x (1 + x) d x

\int_{1}^{3} π (\frac{1}{x})^{2} d x

\int_{0}^{\frac{π}{4}} 4 sec (θ) tan (θ) d θ

\int_{0}^{8} \frac{x}{9 + 5 x} d x

\int_{2}^{5} x^{2} ln (x) d x