Mathematica Free 3D Graph Software for Math Equations

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Several free online programs and calculators are available for graphing in 3D. Key recommendations include Octave, which is suitable for both plotting and evaluating integrals, and can be found at the GNU website. For dedicated graphing, Gnuplot is highlighted as a powerful tool, often used alongside Maxima for analytical solutions. Additionally, SciLab is mentioned as another capable option for 3D graphing. All these tools are free to download and provide various functionalities for mathematical graphing and analysis.
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Do you guys know of any free online programs/calculators that can graph in 3D? Or, any site where I might download such a program?

In particular, I'm looking for a program that can graph
z = \int\limits_0^{2\pi } {\sqrt {1 + \left( {xy\cos xt} \right)^2 } dt}

(basic x,y,z coordinates)
 
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Do you want to plot a graph or evaluate an integral? For the former you need a plotting software such as http://www.gnuplot.info/" , is used to solve integrals analytically, among many other things. Maxima doesn't plot on its own and therefore comes bundled along with gnuplot. Both softwares can be downloaded free of cost.
 
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