Answer
sin(x)=0.63662
x=sin$^{-1}$(0.63662)=0.69 radians
Work Step by Step
midpoint rule for n=100,200,1000
avg value= area/b-a
for n=100
area=2.00008
avg value=2.00008/$\pi$=0.63665
for n=200
area=2.000019
avg value=2.000019/$\pi$=0.63663
for n=1000
area=1.9999996
avg value=1.9999996/$\pi$=0.63662
