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If $$f(x) = \int \frac{5x^8 + 7x^6}{(x^2 + 1 + 2x^7)^2} dx$$, $$(x \geq 0)$$, $$f(0) = 0$$ and $$f(1) = \frac{1}{K}$$, then the value of $$K$$ is ________.
Correct Answer: 4
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