Eccentricity of the rectangular hyperbola _0^1 e^x ( 1 x - 1 x^3 … - Vidyadip

MCQ

Eccentricity of the rectangular hyperbola $\int_0^1 {{e^x}\left( {\frac{1}{x} - \frac{1}{{{x^3}}}} \right)} \;dx$ is

A
$2$
✓
$\sqrt 2 $
C
$1$
D
$\frac{1}{{\sqrt 2 }}$

✓

Answer

Correct option: B.

$\sqrt 2 $

b
(b) Eccentricity of rectangular hyperbola is $\sqrt 2 .$

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