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Gilbert Strang, Calculus, 3rd edition (Wellesley-Cambridge Press; MIT OpenCourseWare RES.18-001) §15.2 Line Integrals, #29 · Multivariable Calculus · Vector calculus

Compute $\int F \cdot d R$ along the straight line $R = t i + t j$ and the parabola $R = t i + t^{2} j$ , from (0,0) to (1,1). When $F$ is a gradient field, use its potential $f (x, y)$ .

$F = i - 2 j$

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Gilbert Strang, Calculus, 3rd edition (Wellesley-Cambridge Press; MIT OpenCourseWare RES.18-001) · §15.2 Line Integrals, #29

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