Definite Integration Question 44

Question: $ \int_1^{e}{\frac{1}{x}dx} $ is equals to

[SCRA 1996; Pb. CET 2003]

Options:

A) $ \infty $

B) 0

C) 1

D) $ \log (1+e) $

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Answer:

Correct Answer: C

Solution:

$ I=\int_1^{e}{\frac{1}{x}dx} $

$ =[\log x]_1^{e}={\log _{e}}e-\log 1=1 $ .