Given a solid bounded by planes [math]z=2[/math], [math]y=x^2[/math], [math]y=3[/math] and [math]x=0[/math]. Find the volume of the solid by using double integral.[br][img]data:image/png;base64,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[/img]
[u][color=#0000ff]https://www.geogebra.org/classic/exybdkcm[/color][/u]