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

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

A

`tan^(2)x+2tan x-cot x+c`

B

`(tan^(3)x)/(3)+2tan x-cot x+c`

C

`(tan^(2)x)/(2)+2tan x-cot x+c`

D

`(tan^(2)x)/(2)+2tan x-2cot x+c`

Text Solution

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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  16. The relation R defined on the set of natural number as {(a,b)):a diffe...

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  17. The differntial equation of all straight line passing through origin i...

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  18. The value of the integral int(1)^(3^(1//n)) (dx)/(x^(n)+1)is

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  19. The maximum value of x^(1//x) is

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  20. If P(A cup B)=0.8 and P(A cap B)=0.3, then P(A')+P(B') equals

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