Let rk= int_0 to 1 (1-x^7)^k dx/int_0to1 (1-x^7)^k+1 dx ,k€R.Then the value of sum_k=1to10 1/7(rk-1)

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Let rk = integration from 0 to 1(1-x^7)^k / integration 0 to 1 (1-x^7)^k+1 dx,k€N then the value of Let rk = integration from 0 to 1(1-x^7)^k / integration 0 to 1 (1-x^7)^k+1 dx,k€N then the value of
Let rₖ = ∫(1-x⁷) ^k dx/ ∫(1-x⁷) ^(k+1) dx, k ∈ N. Then the value of ∑1/ 7(rₖ-1) is equal to Let rₖ = ∫(1-x⁷) ^k dx/ ∫(1-x⁷) ^(k+1) dx, k ∈ N. Then the value of ∑1/ 7(rₖ-1) is equal to
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Let rk=∫10(1−x^7)^kdx/∫10(1−x7)k+1dx,k∈N. Then the value of ∑10k=117(rk−1) is equal to Let rk=∫10(1−x^7)^kdx/∫10(1−x7)k+1dx,k∈N. Then the value of ∑10k=117(rk−1) is equal to
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