1.

The value of the integral \(\mathop \smallint \nolimits_0^1 x\;co{t^{ - 1}}\left( {1 - {x^2} + {x^4}} \right)dx\) is:

A. \(\frac{\pi }{2} - \frac{1}{2}\log{_e}{\rm{\;}}2\)
B. \({\rm{\;}}\frac{\pi }{4} - {\log _e}{\rm{\;}}2\)
C. \(\frac{\pi }{2} - {\log _e}{\rm{\;}}2\)
D. \(\frac{\pi }{4} - \frac{1}{2}{\log _e}{\rm{\;}}2\)
Answer» E.


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