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Find the line integral of $f ( x , y ) = \sqrt { y } / x$ along the curve $\mathbf { r } ( t ) = t ^ { 3 } \mathbf { i } + t ^ { 4 } \mathbf { j } , 1 / 2 \leq t \leq 1$

$\frac{125-13^{3 / 2}}{48}$

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University of Illinois at Urbana-Champaign