JEE Main 20246 Apr, Morning shiftMathematicsMediumIntegral Calculus369× since 2002Let rk=∫01(1−x7)kdx∫01(1−x7)k+1dx,k∈Nr_k=\frac{\int_0^1\left(1-x^7\right)^k d x}{\int_0^1\left(1-x^7\right)^{k+1} d x}, k \in \mathbb{N}rk=∫01(1−x7)k+1dx∫01(1−x7)kdx,k∈N. Then the value of \sum_\limits{k=1}^{10} \frac{1}{7\left(r_k-1\right)} is equal to _________.Your answerType your answer. Integers and decimals are accepted.CheckSkip · show solution
