The value of _3^5 x^2 x^2 - 4 ,dx is - Vidyadip

MCQ

The value of $\int_3^5 {\frac{{{x^2}}}{{{x^2} - 4}}\,dx} $ is

A
$2 - {\log _e}\left( {\frac{{15}}{7}} \right)$
✓
$2 + {\log _e}\left( {\frac{{15}}{7}} \right)$
C
$2 + 4{\log _e}3 - 4{\log _e}7 + 4{\log _e}5$
D
$2 - {\tan ^{ - 1}}\left( {\frac{{15}}{7}} \right)$

✓

Answer

Correct option: B.

$2 + {\log _e}\left( {\frac{{15}}{7}} \right)$

b
(b) $I = \int_3^5 {\left( {1 + \frac{4}{{{x^2} - 4}}} \right)} \,dx.$

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