# Integration: the Area Problem - Page 6

Questions

- What is the net area between #f(x) = cos^2xsin^2x # and the x-axis over #x in [0, 3pi ]#?
- How do you use limits to evaluate #int (x+2)dx# from [1,4]?
- Ap Calculus BC 2002 Form B Question 3?
- How do you find the area of the parallelogram with vertices k(1,2,3), l(1,3,6), m(3,8,6), and n(3,7,3)?
- Sketch the region whose area is given by the definite integral.?
- There is a line through the origin that divides the region bounded by the parabola ?
- What is the net area between #f(x) = sinx - cosx# and the x-axis over #x in [0, 3pi ]#?
- What is the net area between #f(x)=ln(2/x)# in #x in[1,2] # and the x-axis?
- What is the area bounded by the curves? : # 4x + y^2 = 32 # and # x=y #
- What is the net area between #f(x) = 1/sqrt(x^2+2x+1) # and the x-axis over #x in [2, 4 ]#?
- What is the net area between #f(x) = e^(3-x)-2x+1# and the x-axis over #x in [1, 2 ]#?
- What is the net area between #f(x)=sinx# in #x in[0,2pi] # and the x-axis?
- How do you find the area between the given curve #y= x^(1/2)# and the x-axis given in the interval [2,5]?
- What is the net area between #f(x) = x^2-x+2# and the x-axis over #x in [1, 2 ]#?
- Let f and g be the functions given by #f(x)=1+sin(2x)# and #g(x)=e^(x/2)#. Let R be the region in the first quadrant enclosed by the graphs of f and g. How do you find the area?
- Let R be the region in the first and second quadrants bounded above by the graph of #y=20/(1+x^2)# and below by the horizontal line y=2, how do you find the area?
- How do you use limits to find the area between the curve #y=x^2-x+1# and the x axis from [0,3]?
- What is the net area between #f(x) = -ln(x^2+1) # and the x-axis over #x in [1, 2 ]#?
- What is the net area between #f(x)=ln(x+1)# in #x in[1,2] # and the x-axis?
- What is the net area between #f(x) = x^2-x+8 # and the x-axis over #x in [2, 4 ]#?