Answers edited by Roy E.

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• How do you integrate #int dx/sqrt(x^2+4)# using trig substitutions?
  
• What is #f(x) = int -cos^2x dx# if #f(pi/3) = 0 #?
  
• How do you find #lim (x^2+4)/(x^2-4)# as #x->2#?
  
• How do you integrate #int (x-5) / (x^2(x+1))# using partial fractions?
  
• Question #603e4
  
• Question #5b598
  
• Hi everyone, I am having difficulty in getting the correct answer for some reason. Can someone assist me and explain how to do this properly?
  
• How do you integrate #int 1/sqrt(9x^2-36x+37)# using trig substitutions?
  
• How do you integrate #int (x^3-x^2)/ (x+3)^4# using partial fractions?
  
• How do you find the vertex and intercepts for #y=x^2 + 4x + 2#?
  
• How do you find the center, foci and vertices of #(x-3)^2/(25/9)+(y-8)^2=1#?
  
• What are the local extrema of #f(x)= x^3 - 3x^2 - x + 1#?
  
• Derivative of #e^x-e^-x#?
  
• How do you integrate #int 1/(x^2+6x+9)# using substitution?
  
• Question #d1bd3
  
• How do you integrate #int (x^3)/(x^2 + 8x + 16)# using partial fractions?
  
• Question #ba4a6
  
• What is the integral of #int ln x / x dx #?
  
• How do you find the indefinite integral of #int (x+3)/(x^2+6x-5)^2dx#?
  
• How do you integrate #int cos^2x# by integration by parts method?
  
• Can somebody please explain to me the signs used for ∂m in this solution, with regard to the 'u'. I do not understand why '-|∂m|' is used, and then how it is later changed to a '+∂m'? Thanks in advance!
  
• How do you integrate #int (x-1)/( x^4 (x-1)^2)# using partial fractions?
  
• How do you integrate #f(x)=x/(x^2+1)# using the quotient rule?
  
• How do you integrate #(x^2+x-1)/(x(x^2-1))# using partial fractions?
  
• Evaluate #int(x^6+1)/(x^2+1)dx# ?
  
• How do you use partial fractions to find the integral #int (x^2+x+3)/(x^4+6x^2+9)dx#?
  
• How do you find the indefinite integral of #int x/(sqrt(9-x^2))#?
  
• How do you use partial fractions to find the integral #int 1/(4x^2-9)dx#?
  
• How do you integrate #[6/(x-3)^4*(x^2-4x+4)]# using partial fractions?
  
• How do you find the area of the parallelogram with vertices: p(0,0,0), q(-5,0,4), r(-5,1,2), s(-10,1,6)?
  
• How do you evaluate #arcsin(sin3pi)# without a calculator?
  
• How to you find the general solution of #dy/dx=x/y#?
  
• What is the equation of the normal line of #f(x)=x^2-x+5# at #x=2#?
  
• How do you integrate #int (3x^2 - 4x - 2) / [(x-1)(x-2)]# using partial fractions?
  
• Can somebody please explain to me the signs used for ∂m in this solution, with regard to the 'u'. I do not understand why '-|∂m|' is used, and then how it is later changed to a '+∂m'? Thanks in advance!
  
• How do you find the equations for the normal line to #x^2/32+y^2/8=1# through (4,2)?
  
• How do you find the antiderivative of #int x(x^2+1)^100 dx#?
  
• How do you identity if the equation #7x^2-28x+4y^2+8y=-4# is a parabola, circle, ellipse, or hyperbola and how do you graph it?
  
• How do you determine if the improper integral converges or diverges #int 8dx/(x^(2)+1)# from 1 to infinity?
  
• How do you find the center of the circle that is circumscribed about the triangle with vertices (0,-2), (7,-3) and (8,-2)?
  
• A circle has a center that falls on the line #y = 7/9x +7 # and passes through # ( 4 ,1 )# and #(3 ,7 )#. What is the equation of the circle?
  
• How do you integrate #int 1/sqrt(x^2-9)# by trigonometric substitution?