Evaluate : int0^pi(xtan\ x)/(sec\ x+tan\...

Evaluate : `int_0^pi(xtan\ x)/(sec\ x+tan\ x)\ dx`

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XII BOARD PREVIOUS YEAR PAPER ENGLISH-BOARD PAPER SOLUTIONS-All Questions

If y=logtan(pi/4+x/2),\ show that (dy)/(dx)=secx. Also find the val...
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If y=cos^(-1)((2^x+1)/(1+4^x)), find (dy)/(dx)
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Evaluate : int0^pi(xtan\ x)/(sec\ x+tan\ x)\ dx
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From the following matrix equation, find the value of x:[[x+y,4],[-5,...
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Prove the following: tan[pi/4+1/2cos^(-1)(a/b)]+tan[pi/4-1/2cos^(-1)...
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Form the differential equation representing the family of ellipses ...
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Prove the following, using properties of determinants: |[a+b+2c,a,b],[...
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Find the inverse of A=[[3,-1],[-4,1]] using elementary transformations...
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Using properties of determinants, prove the following |(a^2+1,ab,ac),(...
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If y=(t a n^(-1)\ x)^2 , show that (x^2+1)^2(d^2\ y)/(dx^2)+2x(x^2+1)(...
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If veca,vecb, vecc are three vectors such that |veca |= 5, |vecb| =...
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Solve the following differential equation: 2x^2(dy)/(dx)-\ 2x y+y^2=0
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Find the particular solution of the following differential equation...
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Let * be a binary operation of N given by a*b=L C M\ (a , b) for all ...
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Evaluate: int(2x)/((x^2+1)(x^2+3))\ dx
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Evaluate: int(5x+3)/(sqrt(x^2+4x+10))\ dx
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Find the Vector and Cartesian equations of the line passing through...
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Evaluate : int((x-4)e^x)/((x-2)^3)\ dx
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Show that y=log(1+x)-(2x)/(2+x), x gt 1 is an increasing function of x...
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Find the equation of the normal at the point (a m^2, a m^3) for the ...
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