M ath 162: C alculus IIA
1 1 + x 2 dx T h e secon d integral is arctan (x ) " " "! 4 0 = arctan # ! 4 $! arctan (0) = arctan # ! 4 $ F or th e Þ rst integral, w e d o th e follow in g u -su b stitu tion : u = 1 + x 2 du = 2x dx T h e low er u -b ou n d is 1 + 02 = 1, th e u p p er u -b ou n d is 1 +! 2 1 6. H en ce ou r exp ression b ecom es: = ! 6 arctan # ! 4 ... ................
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