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If ninN and int(x^(7n)+x^(2n)+x^n)(2x^(6...

If `ninN` and `int(x^(7n)+x^(2n)+x^n)(2x^(6n)+7x^n+14)^(1/n)dx=(2x^(7n)+7x^(2n)+14x^n)^((n+1)/n)/(k(n+1))+c`, then, `k` is equal to…

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