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Study Stuff for MCA Examinations - NIMCET
Study Stuff for MCA Examinations - NIMCET
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If the value of the integral
$\displaystyle \int_{-\pi/2}^{\pi/2}
\left(
\dfrac{x^{2}\cos x}{1+x^{2}}
+\dfrac{1+\sin^{2}x}{1+e^{\sin(2\tan^{-1}x)}}
\right)\,dx
= \dfrac{\pi}{4}\,(\pi+a)-2,$
then the value of $a$ is:
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