Answers edited by vince

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• How do you integrate `int e^6xcos5xdx`?
  
• 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 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 simplify `(x^4-256)/(x-4)`?
  
• How do you solve the initial value problem of `t^2y'' - 4ty' + 4y = -2t^2` given `y(1) = 2` and `y'(1) =0`?