Show that
and
and
and finally
Show that the area enclosed by a curve defined through the equation
where
c is a positive odd integer and b is a positive even integer is
Come on people lets see that skill
Show that
and
and
and finally
Show that the area enclosed by a curve defined through the equation
where
c is a positive odd integer and b is a positive even integer is
Come on people lets see that skill
well, they are actually pretty easy. i'll do the first three for now:
here we need to have then we have:
by Euler's Reflection formula
that is actually i'll assume 0 < b < a. we have:
now, again, by Euler's Reflection formula: and
clearly put these two in to get the result. Q.E.D.