Justify, with a written explanation or a mathematical reasoning and with a sketch of at least two different cases,
the following properties of integrals:
a) If f(x) is less than or equal to g(x) for a<=x<=b then
integrate from a to b of f(x)dx is less than or equal to integrate from a to b of g(x)dx
b)abs(integrate from a to b of f(x)dx) is less than or equal to integrate from a to b of abs(f(x))dx

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