Questions asked by Huiying G.

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• How to differentiate y= (ln x)/(1+ln x) ?
  
• If #y^2=2xy+2x# prove that #(x-y)(d^2y)/dx^2+2dy/dx-(dy/dx)^2=0# ?
  
• How to differentiate y= (sec x + tan x)(sec x - tan x) ?
  
• How do I integrate by substitution?
  
• How to integrate #int(1-x)/(1+x)^3dx# by using substitution?
  
• How to integrate #int(x^3 dx)/sqrt( x^2 + 4)# by using substitution?
  
• How to differentiate y= sin (#-5x^2-8x+2#) ?
  
• How to differentiate #y=(x+2)^2(3x-1)^3# , find #dy/dx# as a product of its factor ?
  
• Integration by partial fractions #int (6x^2 + 13x + 6)/[(x+2)(x+1)^2]dx# ?
  
• How to integrate #intx^2e^(-5x)dx# by using integration by parts?
  
• How to integrate #int12x[sqrt(x+1)]dx# using integration by parts ?
  
• How to integrate #int [6x^2+13x+6]/[(x+2)(x+1)^2]dx# by partial fractions?
  
• How to integrate #int_0^1x^2e^(4x) dx# ?
  
• Find the general solution of #x(dx/dt) =t+2# ?
  
• Find the general solution of #(dy/dx) = y^2-4# ?
  
• How to find the general solution for #xy (dy/dx - 1)= x^2 + y^2# ?
  
• How to find the general solution of #x dy/dx = -y^2# ?
  
• How to find the general solution #(x-2)dy/dx - y = 0# ?
  
• How to solve #xy(dy/dx +1) = x^2 + y^2# by finding the general solution?
  
• What is the general solution for #dy/dx = 2y-3# ?
  
• How to find the general solution for #x(x^2 + y^2)dy/dx = y(y^2-x^2)# using homogeneous ?
  
• How to find the general solution of #x dy/dx = xy + y# ?
  
• How to differentiate #y= (ln(4x^2))/(3^(6x)# ?
  
• How to differentiate #y= (x+2)^2(3x-1)^3# ?
  
• Find the general solution of #y^2/x dy/dx = ln x# ?
  
• Find the general solution of #dy/dx = 1/(ye^x)# ?
  
• Find the general solution of #xdy/dx = xy + y# ?
  
• Find general solution of #dy/dx = (x+y)^2/(xy)# ?
  
• Find the general solution of #dy/dx = (1+x)/(x-1)# ?
  
• How to find the general solution of #xy dy/dx= (x^2-1)/(y-1)# ?
  
• How to I solve homogeneous equation of #y dy/dx +x=2y# ?
  
• How to solve #tan theta + 3 cot theta = 5 sec theta# in quadratic form?
  
• How to prove #sin^2 theta - cos^2 theta = 1 -2cos^2 theta# ?
  
• Prove sec x - tan x sin x = (1/sec x) ?
  
• How to integrate #int xe^(x/2)dx# by parts?
  
• How to find area of region of the curve y = 4x^3 , the line x = 2 ?
  
• How to find the region bounded by the curve y = 1 - x^2 and the x axis ?
  
• How to find the values of: a) cos (A-B) b) tan (A+B) while angle is obtuse with sin A = 3/5 and angle B is acute with sin B = 12/13 ?
  
• How to find the trigonometric equation for #3(cos x - 2sin^2 x) = cos x - 2# ?