Answers edited by vince

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• What is an example of a telescoping series and how do you find its sum?
  
• How do I change #int_0^1int_0^sqrt(1-x^2)int_sqrt(x^2+y^2)^sqrt(2-x^2-y^2)xydzdydx# to cylindrical or spherical coordinates?
  
• How do you integrate #int e^6xcos5xdx#?
  
• How do you simplify #(x^4-256)/(x-4)#?
  
• How do you use polar coordinates to evaluate the integral which gives the area that lies in the first quadrant between the circles #x^2+y^2=36# and #x^2-6x+y^2=0#?
  
• How do you solve the initial value problem of #t^2y'' - 4ty' + 4y = -2t^2# given #y(1) = 2# and #y'(1) =0#?