Questions asked by Abhishek Malviya

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• What is the derivative of ( tanx+cotx)/(tanx-cotx)Answer is: #-2sec2x tan2x#. How to get this answer??Please help me
  
• If a (1,2,3) b (2,3,4) c (p,q,6) are the collinear points find p and q?
  
• How do you Integrate?
  
• How do you integrate ∫ sin^4 x dx??
  
• How do you Integrate ?
  
• How do you Integrate?
  
• How do you find definite Integral?
  
• How do you prove #intcosAxdx = 1/AsinAx+c# ?
  
• How to solve this Bionomial equation ?
  
• How to differentiate tan^(-1)sqrt((1-cos2x)/(1+cos2x)) ?
  
• How to differentiate tany = ((3x-x^3)/(1-3x^2)) ?
  
• Can you differentiate it ?
  
• Given #int e^x(tanx + 1 )secx dx = e^xf(x)+C#.Write f(x)satisfying above.How can you solve it ?
  
• What is the integral of #int(x tan^-1 x)/(1+x^2)^(3/2)# ?
  
• How can you proof #int dx/(a^2-x^2)=1/(2a) log |(a+x)/(a-x)| + c# using #x = a sintheta# ?
  
• How can you convert this #int dx/(ax^2+bx+c)# into the form of #1/a int dx/(t^2 +- k^2)# ?
  
• What is the perfect square of #1 + 2x +3x^2# ?
  
• How can you convert this #x^3-x^2-x+1# into #(x-a)(x-b)(x-c)# ?
  
• How can you integrate this #int ((3x+5)dx) /((x-1)^2(x+1))#?
  
• What is the integration of #int1/(1-t)dt - int 1/(2-t)dt# ?
  
• How can you proof #intsqrt(x^2-a^2)dx# = #x/2sqrt(x^2-a^2)-a^2/2log|x+sqrt(x^2-a^2)|+C# using #x=asectheta#?
  
• How can you differentiate #sin^-1((2x)/(1+x^2))# ?
  
• What is the integration of #int((x(tanx)^-1)dx)/(1+x^2)^(3/2)# ?
  
• How can you find 2 zeros of this equation #y^2-5y+6=0#?