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The answer to a math problem for postgraduate entrance examination, I don't know why.
When p= 1, the integration result is lnx. Note that lnx is undefined at x=0, so the integral does not exist, that is, the divergence does not converge.

When p is not equal to 1, the integral result is X (1-p)/( 1-p). When p is less than 1, the molecule is X (1-p). If x=0 is defined, p is less than 65438.

When p is greater than 1, X (1-p) is defined as x is not equal to 0. (For example, p=2. Then the molecule is 1/x, and of course x cannot be equal to 0), so the integral result does not exist, that is, the divergence does not converge.

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