Evaluate the line integral.
2. ∫C x ds, C is the arc of the parabola y = x2 from (0, 0) to (1, 1)
To Evaluate: The line integral for an arc of the parabola from to .
The parametric equations of curve and its limits are given as follows.
, from to .
Write the expression to evaluate the line integral for a function along the curve .
is the lower limit of the curve and
is the upper limit of the curve .
Write the required differential and integration formulae to evaluate the given integral.
Modify equation (1) as follows.
Substitute for , for , for , 0 for , and 1 for ,
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