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If I(n)=int(1)^(e)(log x)^(n) d x, then ...

If `I_(n)=int_(1)^(e)(log x)^(n) d x, `then ` I_(n)+nI_(n-1)` equal to

A

`(1)/(e)`

B

e

C

`e-1`

D

None of these

Text Solution

Verified by Experts

The correct Answer is:
B
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ARIHANT MATHS-DEFINITE INTEGRAL-Exercise (Questions Asked In Previous 13 Years Exam)
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  8. Let F : R to R be a thrice differentiable function . Suppose that F(...

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  18. Let f:[1,oo] be a differentiable function such that f(1)=2. If int1...

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  20. For a in R ( the set of all real number) , a ne -1, lim(n to oo)((1^...

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