solve the integration 2x 12 +5x 9 /(x 5 + x 3 + 1) 3 dx
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I = 2x12 + 5x9/(x5 + x3 + 1) 3 dx
= 2x12 + 5x9/ x15 (1+1/x2 + 1 / x5)3 dx
= 2/x3 + 5/x6/ (1+1/x2 + 1/x5)3 dx
= -d (1+1/x2 + 1/x5)/ (1+1/x2+1/x5)
= ½ (1+1/x2 + 1/x5)2
= x10/2 (x5 + x3 + 1)2 + C
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