\[\int\limits_{\frac{-\pi }{2}}^{\frac{\pi }{2}}{\frac{\left| x \right|dx}{8{{\cos }^{2}}2x+1}}\] has the value

\[\int\limits_{\frac{-\pi }{2}}^{\frac{\pi }{2}}{\frac{\left| x \right

1.	\[\int\limits_{\frac{-\pi }{2}}^{\frac{\pi }{2}}{\frac{\left\| x \right\|dx}{8{{\cos }^{2}}2x+1}}\] has the value
A.	\[\frac{{{\pi }^{2}}}{6}\]
B.	\[\frac{{{\pi }^{2}}}{12}\]
C.	\[\frac{{{\pi }^{2}}}{24}\]
D.	None of these
Answer» C. \[\frac{{{\pi }^{2}}}{24}\]

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\[\int\limits_{\frac{-\pi }{2}}^{\frac{\pi }{2}}{\frac{\left| x \right|dx}{8{{\cos }^{2}}2x+1}}\] has the value

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