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int ( 0) ^(sqrt3) ((1)/(2) (d)/(dx)(tan ...

`int _( 0) ^(sqrt3) ((1)/(2) (d)/(dx)(tan ^(-1) ""(2x)/(1- x^(2))))dx` equals to:

A

`pi/3`

B

`-pi/6`

C

`pi/2`

D

None of these

Text Solution

Verified by Experts

The correct Answer is:
B
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VK JAISWAL ENGLISH-INDEFINITE AND DEFINITE INTEGRATION-EXERCISE (SUBJECTIVE TYPE PROBLEMS)
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  7. The value of int (tan x )/(tan ^(2) x + tan x+1)dx =x -(2)/(sqrtA) tan...

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  10. If int (dx )/(cos ^(3) x-sin ^(3))=A tan ^(-1) (f (x)) +bln |(sqrt2+f ...

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  14. If a continuous function f on [0,a] satisfies f(x)f(a-x)=1,agt0, then ...

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  15. If {x} denotes the fractional part of x, then I = int (0) ^(100) (sqrt...

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  16. int( x^3)/(x^2-2)dx

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  17. If M be the maximum value of 72 int (0) ^(y) sqrt(x ^(4) +(y-y^(2))^(2...

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  18. Find the number points where f (theta) = int (-1)^(1) (sin theta dx )/...

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  19. Find the vlaur of lim (n to oo) (1)/(sqrtn)(1+ (1)/(sqrt2) +(1)/(sqrt3...

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  20. The maximum value of int (-pi/2) ^((3pi)/2) sin x. f (x) dx, subject t...

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