Prove that `int_0^(102)(x-1)(x-2)(x-100)``x(1/((x-1)+1/((x-2))+1/((x-100))dx=101 !-100 !`

Prove that `int_0^(102)(x-1)(x-2)(x-100)``x(1/((x-1)+1/((x-2))+1/((x-1

1.	Prove that `int_0^(102)(x-1)(x-2)(x-100)``x(1/((x-1)+1/((x-2))+1/((x-100))dx=101 !-100 !`
Answer» Correct Answer - NA `I=int_(0)^(102)(x-1)(x-2)……(x-100)` `xx(1/((x-1))+1/((x-2))+…+1/((x-100)))dx` `-int_(0)^(102)d/(dx)((x-1)(x-2)………(x-100))dx` `=[(x-1)(x-2)…………(x-100)]_(0)^(102)` `=101!-100!`

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