SOLUTION: what is the integration of : radical (1-y^2)

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Question 461859: what is the integration of : radical (1-y^2)
Answer by richard1234(7193) About Me  (Show Source):
You can put this solution on YOUR website!
Presuming you mean



Then you should make the substitution y = sin u. Then, dy = cos u du and we can substitute y and dy:

by the Pythagorean identity. Applying the power reduction identity,





Since u is the inverse sine of y,



I'll let you simplify the second term (use some trig for this!).