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If 1=int0^(pi/2)(dx)/(sqrt(1+sin^3x)) t...

If `1=int_0^(pi/2)(dx)/(sqrt(1+sin^3x))` then

A

`0ltl lt1`

B

`lgt(pi)/(2sqrt(2))`

C

`l lt sqrt(2)pi`

D

`l lt2pi`

Text Solution

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The correct Answer is:
B, C
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FIITJEE-DEFINITE INTEGRAL -SOLVED PROBLEMS (OBJECTIVE)
  1. int(0)^(pi)(1)/(a^(2)-2acosx+1)dx,agt1 is equal to

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  2. If f:RrarrR,f(x) is a differentiable function such that (f(x))^(2)=e...

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  3. If 1=int0^(pi/2)(dx)/(sqrt(1+sin^3x)) then

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  4. Let f(x)=int(2)^(x)f(t^(2)-3t+4)dt. Then

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  5. If f(x)=int(x)^(x^(2))(dt)/((logt)^(2)),xne0 then f(x) is

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  6. Let f:RrarrR be a continuous and bijective function defined such that ...

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  7. Let f:RrarrR be a continuous and bijective function defined such that ...

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  8. Let f:RrarrR be a continuous and bijective function defined such that ...

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  9. The value of the integral int(0)^(npi+v)|sinx|dx" where "ninNand0levle...

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  10. the value of int0^1 e^(2x-[2x]) d(x-[x])

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  11. If f(x)=int1^x(lnt)/(1+t)dt, then

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  12. If int(0)^(x^(2)(1+x))f(t)dt=x, then the value of 25f(2) must be.

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  13. If (pi)/(2)ltalphalt(2pi)/(3)andl=int(0)^(sin2alpha)(dx)/(sqrt(4cos^(2...

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  14. Let f: RvecR be a continuous function which satisfies f(x)= int0^xf(t...

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  15. If I(n)=int(0)^(1)(1+x+x^(2)+....+x^(n-1))(1+3x+5x^(2)+....+(2n-3)x^(n...

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  16. Match the following:

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  17. int(0)^(oo)e^(-x^(2))dx=(sqrtpi)/(2) then

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  18. Which of the following is correct combination?

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  19. Which of the following is correct combination?

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  20. Which of the following is not correct combination?

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