Zero Is Not In Its Domain

Calculus Level 3

Which of the following is true about the following definite integral?

\[ \int _0 ^1 \ln x \, dx \]

It is equal to zero It is a positive real number It diverges to \(- \infty\), since \(\displaystyle \lim _{x \to 0^+} \ln x = - \infty\) It is a negative real number It is not defined, since \(\ln 0\) is not defined

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