My substitution that I gave was before you did the polar equation stuff so that you would have an easier time finding the area of a semi-circle
From what i can gather, integrating polar equations is much more complex than regular functions and uses double integrals.
Sorry if this doesn't help...
for the antiderivative of f(x) which is a semi circle if i understand you correctly,
try the substitution of $$x=ru$$ so $$u = \frac {x}{r}$$
you should be able to handle the rest
Hi all,
Homework Statement
Find the area of the crescent-shaped region (called a lune) bounded by arcs of circles with radii r and R.
http://mathhelpforum.com/attachments/calculus/19696-find-area-untitled.png
Homework Equations
I know we have to use arcsin which is $$ \frac...