How to integrate y^2=? (1 Viewer)

[enigma_1]

The curve y^2=16(2-x). The top right part of the parabola is shaded (that is bounded by both the axes.)

How do you find the are between the curve and the x-axis?
cheers

 

[Shadowdude]

Well, plot it (as on WolframAlpha) - and find that what you want is equal to:




That... should get you the right answer. Just need to fudge it and get the limits right when you integrate.

 

[normalanus]

The answer is {16*sqrt(2)}/3 or 7.54247...

swag