Josephood7

Find the area of the region between the curves [math] and [math]

Area between curves = 

 

The curve with equation [math] is called Tschirnhausen's cubic. If you graph this curve, you will see that part of the curve forms a loop. Find the area enclosed by the loop.

Area enclosed by the loop = 

 

(a) Find the number [math] such that the line [math] bisects the area under the curve [math]

[math] 

 

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(b) Find the number [math] such that the line [math] bisects the area in part (a).

[math]