What is the integral from 0 to infinity of xcos(x) ?

The integral from 0 to infinity of xcos(x) is diverges

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integral from 0 to infinity of xcos(x)

\int_{0}^{\infty} x cos (x) d x

diverges

Solution steps

\int_{0}^{\infty} x cos (x) d x

Compute the indefinite integral:

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

Compute the boundaries:

\int_{0}^{\infty} x cos (x) d x =

diverges

= diverges

\int_{0}^{5} (5 - x)^{2} d x

\int_{\frac{π}{2}}^{2 π} x sin (x) d x

\int_{- 1}^{2} 3^{x} d x

\int_{1}^{5} \frac{12 ( ln ( x ) ) ^{3}}{x} d x

\int_{- \frac{π}{2}}^{\frac{π}{2}} x cos (x) d x

What is the integral from 0 to infinity of xcos(x) ?
The integral from 0 to infinity of xcos(x) is diverges