Integration: the Area Problem - Page 14

Questions
  • When using integration to find an area, exactly which "area" is found?
  • Find the area of the region between the curve y=x^3 - 4x and the x-axis ?
  • What is the area between two lines?
  • Find the area between the curves y=x^2 and x=y^2 ?
  • Find the area bounded by the curve y=e^(x/3) , the tangent line which is y=1/3 e^(3)x - 2e^3 and the x-axis?
  • Which definite integral would you use to compute the area enclosed by the parabola y=-x^2+4 and the line y=2x-3?
  • Using integration,find the area of the smaller region bounded by the eclipse x^2/9+y^2/4=1 and the straight line x/3+y/2=1 ?
  • How do you integrate #\int _ { 2} ^ { - 3} ( 3+ x ^ { 2} ) ^ { 2} d x#?
  • How do you integrate this equuation?