# Integration: the Area Problem - Page 5

Questions

- The area under the curve y=e^-x between x=0 and x=1 is rotated about the x axis find the volume?
- What is the net area between #f(x) = sqrt(x+3)-x^3 # and the x-axis over #x in [2, 4 ]#?
- How do you find the area inside of the circle #r = 3sin(theta)# and outside the cardioid #r = 1 + sin(theta)#?
- What is the net area between #f(x) = 3x^2-x+2# and the x-axis over #x in [1, 2 ]#?
- How do you determine the values of the coefficients a and b that will give a minimum value of the area, #S#, of the region enclosed by the curve #y=-x^2+ax+b# (which passes through point (1,2)) and the curve #y=(1/2)x^2#?
- What is the area under #f(x)=x^2-3x+5# in #x in[0,1] #?
- How do you evaluate the integral of absolute value of (x - 5) from 0 to 10 by finding area?
- What is the area below the curve #f(x)=x^3 -4x^2 +2x+ 8# and bounded by the y-axis, the x axis and x=3 expressed as an integral?
- How do i solve this integral?
- How do you find the area of the region cut from the second quadrant by the cardioid r=1-cosθ?
- How do you use limits to find the area between the curve #y=x^4# and the x axis from [0,5]?
- How do you find the area bounded by the curves #y = -4sin(x)# and #y = sin(2x)# over the closed interval from 0 to pi?
- How do you find the area of region bounded by the graphs of y +x= 6 and y +2x-3=0?
- How do you use the limit process to find the area of the region between the graph #y=x^2-x^3# and the x-axis over the interval [-1,0]?
- Calculate the largest possible area of the field ?
- What is the net area between #f(x) = x-cosx # and the x-axis over #x in [0, 3pi ]#?
- What is the net area between #f(x) = e^(2x)-xe^x # and the x-axis over #x in [2, 4 ]#?
- Find the surface area of a sphere of radius r?
- What is the net area between #f(x) = xsinx # and the x-axis over #x in [0, 3pi ]#?
- What is the net area between #f(x) = cscx -xsinx# and the x-axis over #x in [pi/6, (5pi)/8 ]#?