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The natural number nle5 for which In=int...

The natural number `nle5` for which `I_n=int_0^1 e^x(x-1)^n dx=16-6e` is

A

2

B

3

C

4

D

5

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

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  4. ifI=int0^a sqrt((a-x)/(a+x))dx, agt0 Then I equals

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  7. If f(x) ge 0 for all x in [0,10] and int0^8 f(x)dx=0 then f(7) is

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

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

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  13. int(-1)^1 max (2-x,2,1+x)dx is

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

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

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

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