# Integration: the Area Problem - Page 4

Questions

- Let R be the region in the first quadrant enclosed by the graphs of #y=e^(-x^2)#, #y=1-cosx#, and the y axis, how do you find the area of the region R?
- Given #f(x)# is a polynomial function of #x#, satisfying #f(x)*f(y)= f(x) +f(y)+f(x y)-2# and that #f(2)=5#. Then #f(3)# is equal to? A) 10 B) 24 C) 15 D) none
- What is the area under #f(x)=5# in #x in[0,2] #?
- What are examples of functions that cannot be integrated?
- What is the net area between #f(x)=(x-x^2)/ln(x^2)# in #x in[1,2] # and the x-axis?
- What is the net area between #f(x) = xe^x-3x # and the x-axis over #x in [1, 5 ]#?
- How do you find the area enclosed by graphs of #y=sqrt [x]# and #y= x^3#?
- What is the area between the line #y = x# and the curve #y = x^3#?
- Find b, c and d so that the quadrilateral is a parallelogram with area equal to 80 square units?
- How do you use limits to evaluate #int8x^3dx# from [3,5]?
- What is the net area between #f(x) = x-sinx # and the x-axis over #x in [0, 3pi ]#?
- What is the area under the curve #y=sqrtt# from 0 to 1?
- What is the net area between #f(x) = x^2+1/x # and the x-axis over #x in [2, 4 ]#?
- How do you find the area enclosed by the x-axis and the given curve #y=(6/x)# for x between -4 & -2?
- What is the net area between #f(x) = x-4cos^2x # and the x-axis over #x in [0, 3pi ]#?
- What is the net area between #f(x)=x/ln(x^2)# in #x in[3,10] # and the x-axis?
- How do you use the limit process to find the area of the region between the graph #y=1-x^3# and the x-axis over the interval [-1,1]?
- How do you use integration to find area under curve?
- What is the net area between #f(x) = x+8 # and the x-axis over #x in [2, 4 ]#?
- A firm manufacturing 2000 items.It estimated that the rate of change of production P with the respect to additional number of workers x is given by dP/dx=100-12x^.5.If the firm employees 25 more workers,then the new level of production of the items is?