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Area Under Curves

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  1. 201.If the area enclosed between the curves y = kx2 and x = ky2, (k > 0), is 1 square unit.
  2. 202.If the area (in sq.
  3. 203.Let S([ ]) = (x, y) : y2 [ ] x, 0 [ ] x [ ] [ ] and A([ ]) is area of the region S([ ]).
  4. 204.The area of the region A = (x, y) : 0 [ ] y [ ]x |x| + 1 and -1 [ ] x [ ]1 in sq.
  5. 205.Consider a region R = (x, y) [ ] R : x2 [ ] y [ ] 2x.
  6. 206.The area (in sq.
  7. 207.The area (in sq.
  8. 208.The area (in sq.
  9. 209.For a > 0, let the curves C1 : y2 = ax and C2 : x2 = ay intersect at origin O and a point …
  10. 210.The area (in sq.
  11. 211.Let A1 be the area of the region bounded by the curves y = sinx, y = cosx and y-axis in th…
  12. 212.If the area of the bounded region [R = (x,y): 0, _ex y 2^x,1 2 x 2 ] is , [ ( _e2)^ - 1 + …
  13. 213.The area of the region given by [A=(x, y): x^2 y x+2,4-3 x] is :
  14. 214.The area of the region enclosed between the parabolas y2 = 2x - 1 and y2 = 4x - 3 is
  15. 215.The area of the region bounded by y2 = 8x and y2 = 16(3 - x) is equal to:
  16. 216.The area bounded by the curve y = |x2 - 9| and the line y = 3 is :
  17. 217.The area of the region enclosed by [y 4 x^2, x^2 9 y] and [y 4], is equal to :
  18. 218.The area of the smaller region enclosed by the curves y^2=8 x+4 and [x^2+y^2+4 √3 x-4=0] i…
  19. 219.The area enclosed by the curves [y= _e(x+e^2), x= _e((2)/(y))] and [x= _e 2], above the li…
  20. 220.The area of the bounded region enclosed by the curve [y = 3 - | x - 1 2 | - |x + 1|] and t…
  21. 221.Area of the region [(x, y): x^2+(y-2)^2 4, x^2 2 y] is
  22. 222.Let [] be the area of the region [ (x,y) R^2:x^2 + y^2 21,y^2 4x,x 1 ].
  23. 223.Let [[x]] denote the greatest integer [ x].
  24. 224.Let [A=(x, y) R^2: y 0,2 x y √4-(x-1)^2] and [ B=(x, y) R R: 0 y 2 x, √4-(x-1)^2 .
  25. 225.The area of the region [(x, y): y^2 4 x, x0, x 3] is
  26. 226.The area (in sq.
  27. 227.One of the points of intersection of the curves y=1+3 x-2 x^2 and [y=(1)/(x)] is [((1)/(2)…
  28. 228.If the area of the region (x, y):-1 x 1,0 y a+e^|x|-e^-x, a>0 is e^2+8 e+1e, then the valu…
  29. 229.The area of the region (x, y): x^2+4 x+2 y |x+2| is equal to
  30. 230.Let f:[0, ) R be a differentiable function such that f(x)=1-2 x+_0^x e^x-t f(t) d t for al…