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int(0)^(1) (tan^(-1)x)/(x) dx equals...

`int_(0)^(1) (tan^(-1)x)/(x)` dx equals

A

`underset(0)overset(x)int (x)/(sin x)dx`

B

`(1)/(2)underset(0)overset(x)int (x)/(sin x)dx`

C

`underset(0)overset(pi//2)int (sin x)/(x)dx`

D

None of the above

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The correct Answer is:
B
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MHTCET PREVIOUS YEAR PAPERS AND PRACTICE PAPERS-PRACTICE SET 23-Paper-2(MATHEMATICS)
  1. The points of discontinuity of tan x are

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  2. The minimum value of f(x)=e^((x^4-x^3+x^2)) is

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  3. int(0)^(1) (tan^(-1)x)/(x) dx equals

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  4. The order and degree of the differential equation (1+3(dy)/(dx))^(2//3...

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  5. The sum of the integers from 1 to 100 which are not divisible by 3 or ...

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  6. The value of x(1).(x(1)'+x(2)) is

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  7. The value of 2^(1/4).4^(1/8).8^(1/16),,,,,,,oo is equal to.

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  8. int sec^(4)x cosec^(2)x dx is equal to

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  9. y=sin^(-1)[sqrt(x-a x)-sqrt(a-a x)]

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  10. A coin is tossed 5 times. The probability that at least one head turns...

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  11. The constraints -x(1)+x(2)lt 1, -x(1)+3x(2)le9, x(1), x(2)gt, 0 difine...

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  12. If D, E and F be the middle points of the sides BC,CA and AB of the De...

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  13. The eccentricity of the hyperbola 3x^(2)-4y^(2)=-12 is

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  14. Equation 3x^(2)+7xy+2y^(2)+5x+3y+2=0

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  15. Negation of "Ram of in class X or Rashmi is in Class XII" is

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  16. The radius of the circle touching the straight lines x-2y-1=0 and 3x-6...

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  17. If sets A and B defines as A={(x,y),y=(1)/(x),0 ne x in R} and B={(x,y...

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  18. If log(x+y)=2xy then y'(0)=

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  19. int sqrt(x)/(sqrt(x)-3sqrtx)dx is equal to

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  20. The range of the function f(x)=log(e)(3x^(2)+4) is equal to

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