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0 2 xln 17 +4- x 4 +1 - x 2 dx . This type I integral is very complicated. A simpler integral is found if we change the order of integration and make the integral a Type II integral. If we plot the region of integration, we obtain. 0 2 x 2 4 x 1+ y 2 dydx= 0 4 0 y x 1+ y 2 dxdy= 0 4 y 2 1+ y 2 dy= 1 2 17 -1 . ................
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