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[tex]\int_{a}^{b} f(r(t)) dt[/tex]

and

[tex]\int_{a}^{b} F(r(t)) (dr/dt)dt[/tex]?

(where F is a vector function)

because when i'm calculating those two types of questions, the first question just uses dt to integrate the line integral but in the 2nd question, i have to differentiate dr???