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Jun 19th, 2018
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  1. myIntegral[x_] := NIntegrate[Sqrt[(a - b)^2 + (c - d)^2]/ (a - b), {a, 0, x}, {b, x, 1}, {c, 0, 1}, {d, 0, 1}]
  2. Plot[myIntegral[x], {x, 0, 1}]
  3.  
  4. Integrate[Sqrt[t + (c - d)^2], {c, 0, 1}, {d, 0, 1}]
  5.  
  6. myIntegral[x_] :=
  7. NIntegrate[(Sqrt[1 + (a - b)^2] - 2 (Sqrt[1 + (a - b)^2] - Sqrt[(a - b)^2]) (a - b)^2 + 3 (a - b)^2 ArcSinh[1/Sqrt[(a - b)^2]])/( 3 (a - b)), {a, 0, x}, {b, x, 1}]
  8.  
  9. Plot[myIntegral[x], {x, 0, 1}]
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