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If I=int(0)^(1//2) (1)/(sqrt(1-x^(2n)))...

If `I=int_(0)^(1//2) (1)/(sqrt(1-x^(2n)))dx`then which one of the following is not true ?

A

`I lt (pi)/(6)`

B

`I ge (1)/(2)`

C

`I gt 0`

D

none of these

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The correct Answer is:
D
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OBJECTIVE RD SHARMA-DEFINITE INTEGRALS-Exercise
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  11. The integral int(0)^(pi//2) f(sin 2 x)sin x dx is equal to

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  12. int(0)^(pi) k(pix-x^(2))^(100)sin2x" dx" is equal to

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  13. The value of the integral int(2)^(4) (sqrt(x^(2)-4))/(x^(4))dx is

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  14. The value of the integral int(0)^(pi)(1)/(a^(2)-2a cos x+1)dx (a gt1),...

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  15. If f(x) and g(x) are continuous functions satisfying (x)=f(a-x) and g(...

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  17. The value of the integral int(1//3)^(1)((x-x^(3))^(1//3))/(x^(4))dx ...

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  18. The value of the integral int(0)^(100pi) sqrt(1-cos2x)" d"xis

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  19. The value of the integral int(-1//2)^(1//2) {((x+1)/(x-1))^(2)+((x-...

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  20. The value of the integral int(1//e)^(e) |logx|dx, is

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