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Line integrals of scalar functions


Suppose we have a scalar field f, left parenthesis, x, comma, y, right parenthesis, equals, x, squared, plus, y, squared and a curve C that is parameterized by alpha, left parenthesis, t, right parenthesis, equals, left parenthesis, t, comma, left parenthesis, t, minus, 2, right parenthesis, squared, right parenthesis for minus, 2, is less than, t, is less than, 1.
What is the line integral of f along C?
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