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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-DEFINITE INTEGRALS-Section I - Solved Mcqs
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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. The expression (int(0)^(n)[x]dx)/(int(0)^(n){x}dx)a where [x] and [x] ...

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  6. The value of int(0)^(100) [ tan^(-1)x]dx is

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  7. int(-1)^(10) sgn (x-[x])dx equals

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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) rArr int(sin theta)^("cosec" theta) f(x)dx equals

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  11. If f(x)={{:(e^(cosx), sin x, "for" |x|le2),(,2,"otherwise"):} then int...

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

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  13. Let g(x)=int(0)^(x)f(t) dt, where f is such that (1)/(2)lef(t)le1 "fo...

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  14. Let f:(0, oo) in R and F(x) = int(0)^(x) f(t) dt. If F(x^(2))=x^(2)(1+...

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  15. The integral int( -1//2)^(1//2) {[x]+ in ((1+x)/(1-x))} dx equals

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  16. Let Tgt0 be a fixed real number. Suppose f is a cintinuous function s...

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  17. Let f(x)=int(1)^(x) sqrt(2-t^(2))dt. Then the real roots of the equati...

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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 continuous function which is periodic with period 2...

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