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The value of int0^1 ( pi(r=1)^n (x+r)) (...

The value of `int_0^1 ( pi_(r=1)^n (x+r)) (sum_(k=1)^n 1/(x+k)) dx`

A

n

B

n!

C

`(n+1)!`

D

`n.n!`

Text Solution

Verified by Experts

The correct Answer is:
D
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ARIHANT MATHS-DEFINITE INTEGRAL-Exercise (Questions Asked In Previous 13 Years Exam)
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  6. The option(s) with the values of aa n dL that satisfy the following eq...

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  7. Let F:R- R be a thrice differentiable function. Suppose that F(1)=0,F(...

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  8. Let F : R to R be a thrice differentiable function . Suppose that F(...

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  9. Let f: RvecR be a function defined by f(x)={[x],xlt=2 0,x >2 where [...

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  10. If alpha=int0^1(e^9x+3tan^((-1)x))((12+9x^2)/(1+x^2))dxw h e r etan^(-...

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  14. Match List I with List II and select the correct answer using codes gi...

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  15. The value of int0^1 4x^3{(d^2)/(dx^2)(1-x^2)^5}dxi s

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  16. The value of the integral int(-pi//2)^(pi//2) (x^(2) + log" (pi-x)/(pi...

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

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  19. The value of int(0)^(1) (x^(4)(1-x)^(4))/(1+x^(2)) dx is (are)

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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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  21. Consider the statements : P : There exists some x IR such that f(x)...

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