a few Maple10/11 projects Wave Deconstruct / reconstruct Is/If with Assuming in Maple A Maple coffee table Calculate area between two curves HTML color codes using Maple
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with(plots); -1
`:=`(s1, animate(plot, [`*`(`^`(t, 2)), t = 0 .. x, filled = true, color = white], x = 0 .. 1)); -1
`:=`(s1b, animate(plot, [`*`(`^`(t, 2)), t = 0 .. x, filled = false, color = red], x = 0 .. 1)); -1
`:=`(s2, animate(plot, [sin(t), t = 0 .. x, color = blue], x = 0 .. 1)); -1
`:=`(s2b, animate(plot, [sin(t), t = 0 .. x, filled = true, color = COLOR(RGB, .7, .7, .99)], x = 0 .. 1)); -1
display([s1, s1b, s2, s2b], view = [0 .. 1, 0 .. 1]); 1
Plot_2d
# entire area of box calculated with simple math
Typesetting:-mrow(Typesetting:-mn(    = .67452Typesetting:-mrow(Typesetting:-mo(


# entire area of box calculated symbolically as an integral
Typesetting:-mrow(Typesetting:-mi( = .67452


# entire area minus area beneath sine curve = upper fill area
Typesetting:-mrow(Typesetting:-mi( = .3147489943


# top area minus bottom area = fill area
Typesetting:-mrow(Typesetting:-mi( = .1356975068


# area beneath the lower curve
Typesetting:-mrow(Typesetting:-mi( = .2240737920


# add everything back together again to check
Typesetting:-mrow(Typesetting:-mi( = .6745202931