Mathematics is the science of drawing relationships between quantifiable entities. i.e., x^2 + y^2 = h^2 is a discovered formula for finding the width of sides in a triangle (or triangular object, such as a wedge or ramp). It does not necessarily mean it is the only formula, but in theory, any formula intent on finding the width of 3 sides of a triangle using the other sides as components could, through mathematical operations, derive the above formula.
Now, if someone can explain to me the usefulness of integrals, I would really appreciate that.
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