integral from 1 to infinity of xsin(x)

Lösung

\int_{1}^{\infty} x sin (x) d x

divergiert

Schritte zur Lösung

\int_{1}^{\infty} x sin (x) d x

Berechne das unbestimmte Integral:

\int x sin (x) d x = - x cos (x) + sin (x) + C

Berechne die Grenzen:

\int_{1}^{\infty} x sin (x) d x =

divergiert

= divergiert

\int_{0}^{\frac{1}{2}} 3 x - 6 x^{2} d x

\int_{1}^{64} x^{\frac{- 5}{6}} d x

\int_{0}^{π} (3 x^{2} - sin (x) + 2) d x

\int_{- 1}^{0} x (x + 1)^{100} d x

\int_{0}^{5} \frac{x}{x ^{2} - 4} d x