Can anyone please help me to find the integral value of the following expression,

Integrate[(x - t)^(-1), {t, 0, x}]

It will be of a big help to me.

  • 2
    $\begingroup$ This is rather a math question (see en.wikipedia.org/wiki/Improper_integral). Mathematica 12.0 correctly returns the error message " Integrate::idiv: Integral of 1/(-t+x) does not converge on {0,x}." and the input. Other users, not only you, obtain the same result. $\endgroup$ – user64494 Jun 28 '19 at 4:03
  • $\begingroup$ The integral is a divergent, improper integral. They are covered in first-year calculus, usually in the second half in US colleges/universities. $\endgroup$ – Michael E2 Jun 28 '19 at 4:05

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