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STD 12 - 7.2 definite integral — Mathematics STD 12 Science — Question

CBSE BoardEnglish MediumSTD 12 ScienceMathematicsSTD 12 - 7.2 definite integral1 Mark
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) $I = \int_3^5 {\left( {1 + \frac{4}{{{x^2} - 4}}} \right)} \,dx.$

Now proceed yourself.

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