Definite Integration Question 448
Question: The value of $ \int_3^{5}{\frac{x^{2}}{x^{2}-4}dx} $ is
[Roorkee 1992]
Options:
A) $ 2-{\log _{e}}( \frac{15}{7} ) $
B) $ 2+{\log _{e}}( \frac{15}{7} ) $
C) $ 2+4{\log _{e}}3-4{\log _{e}}7+4{\log _{e}}5 $
D) $ 2-{{\tan }^{-1}}( \frac{15}{7} ) $
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Answer:
Correct Answer: B
Solution:
$ I=\int_3^{5}{( 1+\frac{4}{x^{2}-4} )}dx. $ Now proceed yourself.
BETA
