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Area Under Curves

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  1. 101.Let g(x) = _0^x f(t),dt, where f is a continuous function on [0,3] such that 13 f(t)1 for …
  2. 102.The area bounded by the curve 4y^2 = x^2(4-x)(x-2) is equal to:
  3. 103.Let f : [-3,1] R be given as f(x) = casesx+6,,x^2, & -3 x0 x,,x^2, & 0 x1cases.
  4. 104.If the area of the bounded region R = (x,y) : 0,_ex y 2^x, 12 x2 is (_e2)^-1+(_e2)+, then …
  5. 105.The area of the region bounded by y-x=2 and x^2=y is equal to:
  6. 106.The area (in sq.
  7. 107.If the line y=mx bisects the area enclosed by the lines x=0, y=0, x=32 and the curve y = 1…
  8. 108.The area of the region bounded by the parabola (y-2)^2=(x-1), the tangent to it at the poi…
  9. 109.The area of the region S = (x,y) : 3x^24y6x+24 is ________.
  10. 110.Let a and b respectively be the points of local maximum and local minimum of the function …
  11. 111.The area, enclosed by the curves y= x+ x and y=| x- x|, and the lines x=0, x=2, is:
  12. 112.The area of the region, enclosed by the circle x^2+y^2=2, which is not common to the regio…
  13. 113.The area (in sq.
  14. 114.For a>0, let the curves C_1 : y^2=ax and C_2 : x^2=ay intersect at the origin O and a poin…
  15. 115.The area (in sq.
  16. 116.Given: f(x) = casesx, & 0 x<12 12, & x=12 1-x, & 12<x1cases and g(x) = (x-12)^2, x R.
  17. 117.The area (in sq.
  18. 118.The area (in sq.
  19. 119.The area (in sq.
  20. 120.The area (in sq.
  21. 121.Consider a region R = (x,y) R^2 : x^2 y2x.
  22. 122.The area (in sq.
  23. 123.The area (in sq.
  24. 124.The area (in sq.
  25. 125.The area (in sq.
  26. 126.If the area enclosed between the curves y=kx^2 and x=ky^2, (k>0), is 1 square unit, then k…
  27. 127.The area of the region A = (x,y) : 0 y x|x|+1, -1 x1 in sq.
  28. 128.The area (in sq.
  29. 129.If the area (in sq.
  30. 130.If the area (in sq.
  31. 131.The region represented by |x-y|2 and |x+y|2 is bounded by a:
  32. 132.The area (in sq.
  33. 133.The area (in sq.
  34. 134.Let S() = (x,y) : y^2 x, 0 x and A() be the area of the region S().
  35. 135.Let g(x)= x^2, f(x)= x, and , (<) be the roots of the quadratic equation 18x^2-9 x+^2=0.
  36. 136.If the area of the region bounded by the curves y=x^2, y=1x and the lines y=0, x=t (t>1) i…
  37. 137.The area (in sq.
  38. 138.The area (in sq.
  39. 139.The area (in sq.
  40. 140.The area (in sq.
  41. 141.The area (in sq.
  42. 142.The area (in sq.
  43. 143.The area (in square units) of the region bounded by the curves y+2x^2=0 and y+3x^2=1 is eq…
  44. 144.The area of the region described by A = (x,y) : x^2+y^21 and y^21-x is:
  45. 145.The area of the region above the x-axis, bounded by the curve y= x, 0 x2, and the tangent …
  46. 146.Let A = (x,y) : y^24x, y-2x-4.
  47. 147.Let f : [-2,3][0,) be a continuous function such that f(1-x)=f(x) for all x[-2,3].
  48. 148.The area (in square units) bounded by the curves y= x, 2y-x+3=0, the x-axis, and lying in …
  49. 149.The area under the curve y=| x- x|, 0 x2, and above the x-axis is:
  50. 150.The area of the region (in sq.