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If the value of _ x 0 (1+ ^3 x ^2 x ) ( ^3(1+x) ) ^4 x ( x^2+2 - 2 ) (1+x^2 ) = n where n N , then find the value of n .

Correct answer

8

Step-by-step solution

aligned & _ x 0 (1+ ^3 x ^2 x ) ( ^3(1+x) ) ^4 x ( x^2+2 - 2 ) (1+x^2 ) = _ x 0 ( ^3 x ^2 x ) x ( x^2+2 - 2 ) x^2 & = _ x 0 2 2 ^2 x x^2 =2 2 = 8 n=8 aligned

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