Find definite integral of _a^b 1 x dx - Vidyadip

MCQ

Find definite integral of $\int_a^b {\frac{1}{x}dx} $

✓
$\log \,\frac{b}{a}$
B
${\log_e} \,\frac{a}{b}$
C
${\log _e}\,a$
D
${\log _e}\,b$

✓

Answer

Correct option: A.

$\log \,\frac{b}{a}$

a
$[\log _e x]_a^b =\log _e b=\log _e a$

$=\log \frac{b}{a}$

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