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

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

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integral from-infinity to 0 of xsin(x)

\int_{- \infty}^{0} x sin (x) d x

diverges

Solution steps

\int_{- \infty}^{0} x sin (x) d x

Compute the indefinite integral:

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

Compute the boundaries:

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

diverges

= diverges

\int_{0}^{1} (7 x^{2} - 4 x + 3) d x

\int_{0}^{\frac{π}{2}} (x cos (x)) d x

\int_{- 1}^{\infty} \frac{1}{1 + x ^{2}} d x

\int_{3}^{7} 6 - 2 x d x

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

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