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int3^9root3 (12-x)/(x3+12-x3)dx...

`int_3^9root3 (12-x)/(x3+12-x3)dx`

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int_0^3 (3x+1)/(x^2+9) dx=

int_(3)^(9)x^(3)/(|12-x|^(3)+x^(3))dx=

The integral int(2x^12+5x^9)/((x^5+x^3+1)^3)dx is equal to: where C is an arbitrary constant.