# Calculating Polar Areas - Page 3

Questions

- What is the area enclosed by #r=5cos^3((5theta)/6-(pi)/2)+theta^2/2 # between #theta in [0,pi/2]#?
- Find the average height of a point on a unit semi-circle?
- What is the area under the polar curve #f(theta) = theta^2-thetasin(7theta-pi/6 ) +cos(2theta-(5pi)/4)# over #[pi/8,pi/2]#?
- What is the area enclosed by #r=sin(5theta-(13pi)/12) # between #theta in [pi/8,(pi)/4]#?
- How do you find the area of one petal of #r=cos2theta#?
- How do you find the points of intersection of #r=1+costheta, r=3costheta#?
- How do you find the area of the region bounded by the polar curve #r=3(1+cos(theta))# ?
- What is the area inside the polar curve #r=1#, but outside the polar curve #r=2costheta#?
- How do you find the area of the common interior of #r=3-2sintheta, r=-3+2sintheta#?
- How do you find the points of intersection of #theta=pi/4, r=2#?
- What is the area under the polar curve #f(theta) = 3theta^2+thetasin(4theta-(5pi)/12 ) +cos(2theta-(pi)/3)# over #[pi/8,pi/6]#?
- What is the area under the polar curve #f(theta) = theta^2sin((5theta)/2 )-cos((2theta)/3+pi/2) # over #[pi/6,(3pi)/2]#?
- What is the area enclosed by #r=-3sin(2theta-(2pi)/4) -theta# between #theta in [pi/8,(3pi)/4]#?
- How do you find the points of intersection of #r=theta/2, r=2#?
- How do you find the area of the region bounded by the polar curve #r=2-sin(theta)# ?
- What is the area under the polar curve #f(theta) = thetasin((3theta)/4 )-cos^3((5theta)/12-pi/2) # over #[0,2pi]#?
- How do you find the area inner loop of #r=4-6sintheta#?
- What is the area enclosed by #r=-2cos((11theta)/12+(3pi)/4)+sin((5theta)/4+(5pi)/4) +theta/3# between #theta in [0,pi]#?
- What is the area enclosed by #r=8sin(3theta-(2pi)/4) +4theta# between #theta in [pi/8,(pi)/4]#?
- How do you find the area of the region bounded by the polar curves #r=1+cos(theta)# and #r=1-cos(theta)# ?