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If `A(n)` represent the area bounded by the curve `y=n " lnx " ("where "n in N" and " n gt1)` and x-axis from `x=1` to `x=e`, then value of `A(n)+nA(n-1)` is equal toA. `n^(2)`B. `en^(2)`C. `n^(2)/(e+1)`D. `n^(2)/(e-1)` |
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Answer» Correct Answer - A `A(n)=underset(1)overset(e)(int)n"ln "xdx=n` `thereforeA(n)+nA(n-1)=n+n(n-1)=n^(2)` |
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