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The value of the integral ∫((1 + 3)/((x + 1)^2(1 - x)^6)^1/4)dx for x ∈ [0, 1/2] is ......

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The value of the integral ∫((1 + 3)/((x + 1)2(1 - x)6)1/4)dx for x ∈ [0, 1/2] is ......

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The given integral is

Therefore, the given integral becomes as follows:

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