Re: MX2 2016 Integration Marathon
ALT METHOD:
$ Let: $ I =\int^\pi_0 \frac{(x + 3) \sin{(x)}}{1 + \cos^{2}{(x)}} \, dx = \int^\pi_0 \frac{(\pi-x + 3) \sin{(\pi-x)}}{1 + \cos^{2}{(\pi-x)}} \, dx
\therefore 2I = \int_{0}^{\pi} \frac{(\pi+6)\sin{(x)}}{1+\cos^{2}{(x)}} dx
2I = -(\pi+6)...