1.

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 to

Answer»

`n^(2)`
`en^(2)`
`n^(2)/(e+1)`
`n^(2)/(e-1)`

Solution :`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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