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int tan^(-1) sqrt((1 - cos 2x)/( 1 + cos...

`int tan^(-1) sqrt((1 - cos 2x)/( 1 + cos 2 x )) dx ` is

A

`x^(2)+c`

B

`2x^(2)+c`

C

`x^(2)//2+c`

D

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

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FULL MARKS-SAMPLE PAPER 13-PART
  1. If lim(xto0)(sin3x)/(tankx)=5 then the value of k is

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  2. Find Rf(0) for f(x)=|x| is

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  3. int tan^(-1) sqrt((1 - cos 2x)/( 1 + cos 2 x )) dx is

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  4. int(1)/(sqrt(3+4x))dx=

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  5. Two items are chosen from a lot containing twelve items of which four ...

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  6. If n(A)=10 and n(AcapB)=3, find n((AcapB)'capA).

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  7. Are there two distinct irrational numbers such that their difference i...

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  8. Find the value of tan 105^(@).

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  9. Write the first 6 terms of the sequence whose n^(th) term is given by ...

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  10. Show that the points (0,-(3)/(2)),(1,-1) and (2,-(1)/(2)) are collinea...

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  11. Find x and y if ((3x+4y,x-2y),(5,-3))=((2,4),(5,-3)).

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  12. Given veca=2hati+2hatj+3hatk, vecb=-hati+2hatj+hatk and vecc=3hati+hat...

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  13. Find the relation between a and b if lim(xto3)f(x) exists where f(x)={...

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  14. Find the derivative of t^(3) cos t with respect to t.

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  15. There are 15 candidates for an examination. 7 candidates are appearing...

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  16. Find the largest possible domain for the real valued function f define...

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  17. Resolve into partial fractions (3x+7)/(x^(2)-3x+2).

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  18. Iff ""^(5)P(r)=""^(6)P(r-1) find r.

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  19. Show that |{:(x,a,a),(a,x,a),(a,a,x):}|=(x+2a)(x-a)^2

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  20. Find the unit vectors perpendicular to each of the vectors veca+vecb" ...

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