Answers edited by Roy E.

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• How do you integrate `int (x^3-x^2)/ (x+3)^4` using partial fractions?
  
• How do you integrate `f(x)=x/(x^2+1)` using the quotient rule?
  
• Derivative of `e^x-e^-x`?
  
• How do you find the vertex and intercepts for `y=x^2 + 4x + 2`?
  
• How do you find the antiderivative of `int x(x^2+1)^100 dx`?
  
• How do you find the indefinite integral of `int x/(sqrt(9-x^2))`?
  
• How do you integrate `int (3x^2 - 4x - 2) / [(x-1)(x-2)]` using partial fractions?
  
• How do you integrate `int 1/sqrt(9x^2-36x+37)` using trig substitutions?
  
• Evaluate `int(x^6+1)/(x^2+1)dx` ?
  
• How do you integrate `int dx/sqrt(x^2+4)` using trig substitutions?
  
• 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 identity if the equation `7x^2-28x+4y^2+8y=-4` is a parabola, circle, ellipse, or hyperbola and how do you graph it?
  
• 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!
  
• What is the equation of the normal line of `f(x)=x^2-x+5` at `x=2`?
  
• How do you integrate `int 1/(x^2+6x+9)` using substitution?
  
• Question #d1bd3
  
• Question #603e4
  
• How do you find the center of the circle that is circumscribed about the triangle with vertices (0,-2), (7,-3) and (8,-2)?
  
• How do you find the center, foci and vertices of `(x-3)^2/(25/9)+(y-8)^2=1`?
  
• 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 indefinite integral of `int (x+3)/(x^2+6x-5)^2dx`?
  
• Question #ba4a6
  
• What is `f(x) = int -cos^2x dx` if `f(pi/3) = 0`?
  
• What is the integral of `int ln x / x dx`?
  
• How do you find `lim (x^2+4)/(x^2-4)` as `x->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 to you find the general solution of `dy/dx=x/y`?
  
• How do you integrate `int 1/sqrt(x^2-9)` by trigonometric substitution?
  
• How do you evaluate `arcsin(sin3pi)` without a calculator?
  
• 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^3)/(x^2 + 8x + 16)` using partial fractions?
  
• How do you integrate `int (x-1)/( x^4 (x-1)^2)` using partial fractions?
  
• How do you use partial fractions to find the integral `int 1/(4x^2-9)dx`?
  
• How do you integrate `(x^2+x-1)/(x(x^2-1))` using partial fractions?
  
• How do you integrate `[6/(x-3)^4*(x^2-4x+4)]` using partial fractions?
  
• How do you find the equations for the normal line to `x^2/32+y^2/8=1` through (4,2)?
  
• 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 area of the parallelogram with vertices: p(0,0,0), q(-5,0,4), r(-5,1,2), s(-10,1,6)?
  
• Question #5b598
  
• How do you integrate `int cos^2x` by integration by parts method?
  
• What are the local extrema of `f(x)= x^3 - 3x^2 - x + 1`?
  
• How do you integrate `int (x-5) / (x^2(x+1))` using partial fractions?