Find an area bounded by a graph

Question

I need help with this task.

cx(x^2/a^2+y^2/b^2)=y^2,x=b^2/c

 

Answer 1

Hi Vagif,

 

First thing I would recommend is to use specific values for a, b, c to get an idea of what is going on. The following graph has sliders for a,b,c so you can adjust them to get different pictures:

 

https://www.desmos.com/calculator/2gzw4cq72y

 

Notice that line 3 the equation is solved for y². Then functions are defined for the +/- square root. Line 9 shows an integral for finding the area under the curve. Note that f(x) is not actually defined at b²/c (improper integral). Not sure what the expectation is for you to find the anti-derivative of f(x). Wolfram Alpha shows it to be a long involved process.