# Integration: the Area Problem - Page 3

Questions

- What is the net area between #f(x) = sqrt(x+3)-x^3+6x # and the x-axis over #x in [2, 4 ]#?
- Let r be the region bounded by the graphs of #y= sqrt(x)# and #y=x/2#, how do you find the area of R?
- What is the net area between #f(x) = cosxsinx # and the x-axis over #x in [0, 3pi ]#?
- What is the net area between #f(x) = 4/x # and the x-axis over #x in [1, 2 ]#?
- What is the net area between #f(x) = x/sqrt(x+1) # and the x-axis over #x in [1, 4 ]#?
- How do you find the area bounded by the curve #y= 3-2x-x^2# and the x axis?
- What is the net area between #f(x) = cotxcscx -sinx# and the x-axis over #x in [pi/6, (5pi)/8 ]#?
- Let R be the shaded region in the first quadrant enclosed by the y-axis and the graphs of #y=sin(x)# and #y=cos(x)#, how do you find the area of R?
- Let R be the region in the first quadrant bounded by the x-axis, the graph of #x=y^2+2#, and the line x=4. What is a the interval for the area of R?
- How do you use the limit process to find the area of the region between the graph #y=-2x+3# and the x-axis over the interval [0,1]?
- What is the net area between #f(x)=xsinx# in #x in[0,4pi] # and the x-axis?
- How do you find the area of the region shared by the cardioid #r=2(1+cos(theta)) #and the circle r=2?
- What is the net area between #f(x)=(x-x^2)/ln(x^2+1)# in #x in[1,2] # and the x-axis?
- What is the net area between #f(x) = x-xsqrt(4x-3) # and the x-axis over #x in [1, 4 ]#?
- How do I evaluate #int_0^5|x-5|dx# by interpreting it in terms of areas?
- What is the net area between #f(x) = sinx - cos^2x# and the x-axis over #x in [0, 3pi ]#?
- How do you find the volume when the region bounded by y = x+3, y = 0, x = -3 and x = 3 is revolved around the x-axis?
- What is the net area between #f(x)=x^3+4x^2-2# in #x in[2,5] # and the x-axis?
- What is the net area between #f(x) = 3-xsqrt(x^2-1) # and the x-axis over #x in [2, 3 ]#?
- What is the net area between #f(x) = cosxsin^2x # and the x-axis over #x in [0, 3pi ]#?