Between 15 and 20 miles per gallon.
If U={1,2,3,4,5) and A={2,4) then A' should be
Ans» d.{1,3,5}
Answer:
Step-by-step explanation:
a=2d+3
b=3d-12
c=a+b so
c=2d+3+3d-12
c=5d-9
Replace x with π/2 - x to get the equivalent integral

but the integrand is even, so this is really just

Substitute x = 1/2 arccot(u/2), which transforms the integral to

There are lots of ways to compute this. What I did was to consider the complex contour integral

where γ is a semicircle in the complex plane with its diameter joining (-R, 0) and (R, 0) on the real axis. A bound for the integral over the arc of the circle is estimated to be

which vanishes as R goes to ∞. Then by the residue theorem, we have in the limit

and it follows that
