# Calculating Areas using Integrals - Page 2

Questions

- How do you find the area of the region that lies inside the curves #r= 1+cos(theta)# and #r= 1-cos(theta)#?
- How do you find the area between the curves #x+3y=21# and #x+7=y^2#?
- How do you find the area between #y^2=-4(x-1)# and #y^2=-2(x-2)#?
- How do you find the area between #y=-3/8x(x-8), y=10-1/2x, x=2, x=8#?
- How do you find the area bounded by #y=4-x^2#, the x and y axis, and x=1?
- How do you find the area of the region bounded by the curves #y=|x|# and #y=x^2-2# ?
- How do you find the area between #g(x)=4/(2-x), y=4, x=0#?
- Whats the area of a region in the first quadrant between the graph of #y= xsqrt(4-x^2)# and the x axis?
- How do you find the area bounded by #y^2=4x# and the line #y=2x-4#?
- A rectangle is inscribed with its base on the x axis and its upper corners on the parabola y = 12 − x^2. What are the dimensions of such a rectangle with the greatest possible area?
- Given #f(x) = 22x+8#. Then let the area bounded by #f(x): x in (0,x)# and the x-axis be denoted by #A(x)#. Show that #A'(x) = f(x)# ?
- Measles pathogenesis curve by function #f# (see details for questions)?
- How do you find the area of the region that lies inside the polar graphs, #r = 1 - sin theta# and #r = sin theta#?
- How do you find the area between #y=1/2x^3+2, y=x+1, x=0, x=2#?
- How do you find the area of the region bounded by the curves #y=1+sqrt(x)# and #y=1+x/3# ?
- What is the area under the graph of #f(x) = x^2 + 2# on #[1, 2]#?
- Find the values of #c# such that the area...?
- How do you find the area between the two consecutive points of intersection of y=sinx and y=cosx?
- How do you find the area of the region between the curves #y=x-1# and #y^2=2x+6# ?
- How do you find the area of the shaded region #r = sqrt(theta)#?