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If (1)/(sqrt(a))int(1)^(a)((3)/(2)sqrt(x...

If `(1)/(sqrt(a))int_(1)^(a)((3)/(2)sqrt(x)+1-(1)/(sqrt(x)))dx lt4` then 'a' may take values :

A

0

B

4

C

9

D

none of these

Text Solution

Verified by Experts

The correct Answer is:
D
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OBJECTIVE RD SHARMA ENGLISH-DEFINITE INTEGRALS-Section I - Solved Mcqs
  1. int(-2)^(2) min(x-[x],-x-[x])dx equals, where [x] represents greates i...

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  2. The integral int(0)^(a) (g(x))/(f(x)+f(a-x))dx vanishes, if

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  3. If (1)/(sqrt(a))int(1)^(a)((3)/(2)sqrt(x)+1-(1)/(sqrt(x)))dx lt4 then ...

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  4. Evaluate (int(0)^(n)[x]dx)/(int(0)^(n){x}dx) (where [x] and {x} are in...

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  5. If f(x)=min{|x-1|,|x|,|x+1|, then the value of int(-1)^(1) f(x) dx is ...

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  6. The value of int(0)^(100)[ tan ^(-1)x] d x is equal to (where [.] den...

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  7. The value of int(-1)^(10) sgn (x-[x])dx is equal to (where, [.] denote...

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  8. If n in N, then int(-n)^(n)(-1)^([x]) dx equals

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  9. The value of :.int(0)^([x]) (2^(x))/(2^([x]))dx is

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  10. If f(x) is a function satisfying f((1)/(x))+x^(2)f(x)=0 for all non ...

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  11. If f(x)={(e^cosx sinx ,, |x| leq 2),(2 ,, other wise):}. Then int-2^...

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  12. The value of the integral int (e ^(-1))^(e ^(2))|(ln x )/(x)|dx is:

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  13. about to only mathematics

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  14. Let f: (0, infty) rarr R and F (x) = int(0) ^(x) f(t) dt . If F(x^(2)...

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  15. The integral int(-1/2)^(1/2) ([x]+1n((1+x)/(1-x)))dx is equal to (wher...

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  16. Let T >0 be a fixed real number. Suppose f is continuous function such...

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  17. Let f(x)=int1^xsqrt(2-t^2)dtdot Then the real roots of the equation x^...

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  18. If f((1)/(x)) +x^(2)f(x) =0, x gt0 and I= int(1//x)^(x) f(t)dt, (1)/(...

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  19. If | int(a)^(b) f(x)dx|= int(a)^(b)|f(x)|dx,a ltb,"then " f(x)=0 has

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  20. Let f(x) be an odd continous function which is periodic with period 2....

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