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