\(a\): Evaluation of $$\displaystyle \int_{-\frac{\pi}{2}}^{\frac{\pi}{2}}\frac{\pi+4x^3}{2-\cos\left(|x|+\frac{\pi}{3}\right)}dx$$
\(b\):: Evaluation of \[\displaystyle \int_{0}^{\pi}e^{|\cos x|}\left(2\sin \left(\frac{\cos x}{2}\right)+3\cos \left(\frac{\cos x}{2}\right)\right)dx\]
2 Trigonometric Integral
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