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Prove that : int0^pi (xtanx)/(secxcosecx...

Prove that : `int_0^pi (xtanx)/(secxcosecx)dx =pi^2/4`.

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  1. Prove that : int0^pi (xtanx)/(secxcosecx)dx =pi^2/4.

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  3. The value of sin(cot^-1x) is equal to

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  4. If A is matrix of order x*2 and B is of 2*y and (AB)' is of 4*3 then v...

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  5. If A and B are square matrices of order 3 such that absA = -1, absB = ...

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  6. I.F. Of the differential equation dy/dx+2y=e^(2x) is :

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  7. If f(x)= {(mx+1,,x,le,5),(3x-5,,x,>,5):} is continuous, then the value...

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  8. d/dx(e^(2sin^-1x)) =

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  9. The value of int(cosec^2x)/sec^2xdx is

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  10. intdx/(9+x^2) =

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  11. The number of arbitrary constants in the general solution of a differe...

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  12. Find the area of the parallelogram whose diagonals are a = 3 hat i + h...

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  13. Find |veca-vecb|, if two vectors veca and vecb are such that |veca|=2,...

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  14. The length of the perpendicular drawn from the origin to 2x-3y+6z+21=0

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  15. A line makes 90^@, 135^@, 45^@ with x, y and z axes respectively than ...

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  17. If a four digit number is formed by using the digits 1,2,3 and 5 with ...

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  18. If [[e^x,e^y],[e^y,e^x]] = [[1,1],[1,1]] then (x,y) =

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  19. If A = [[2x,5],[6,3]] is singular then x^2 =

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  20. d/dx{tan^-1((x+a)/(1-ax))} =

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  21. Slope of normal to the line 2x-3y+4=0 is

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