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if I=int(1/e)^e abslogx dx/x^2 then I eq...

if `I=int_(1/e)^e abslogx dx/x^2` then I equals

A

2

B

2/e

C

2(1-1/e)

D

0

Text Solution

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The correct Answer is:
C
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PATHFINDER-DEFINITE INTEGRATION-QUESTION BANK
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  4. The natural number nle5 for which In=int0^1 e^x(x-1)^n dx=16-6e is

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  7. let f(x) be a continuous function such that f(a-x)+f(x)=0 for all x in...

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  10. if In=int0^(pi/4)tan^ntheta.d theta,then n in N,n(I(n-1)+I(n+1)) equal...

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  12. The value of int0^(sin^2x)sin^(-1)(sqrtt)dt+int0^(cos^2x)cos^(-1)(sqrt...

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  13. value of underset(nrarrinfty)lim((n !)/n^n)^(1/n),where n inN is equal...

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  15. The value of int(-1)^2abs([x]-{x})dx where [x] is the greatest integer...

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  16. if I=int0^(1.7)[x^2]dx then I equals

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  17. int(-1)^1(x-abs(2x))dx is equal to

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  18. int0^3(absx+abs(x-1))dxis equal to

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  19. suppose for every integer n, intn^(n+1)f(x)dx=n^2then the value of int...

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  20. Evaluate: underset(nrarrinfty)lim (1/(n+1)+1/(n+2)+....+1/(2n))

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