PROGRAM:EULER
:y1*H+y
y:x+H
x:Disp x,y
General method:Start at a point on the graph of the antiderivative. Follow the graph using the tangent line at that point. Add an increment to the x-coordinate and estimate the y-coordinate on the graph from the y-coordinate on the tangent line.
Program:
PROGRAM:EULER
:y1*H+yy
:x+Hx
:Disp x,y
To use this program, place the formula for f'(x) as y1 in the "y=" menu. Store the increment, h, in H and the initial values x1 and y1 in x and y. Execute the program. Continuing to press the enter key will display successive approximations of points on the antiderivative.
