A parametric curve is traversed from down to

MATHEMATICS · Subjective · AP · Calculus BC · Parametric, Polar, and Vector-Valued Functions · Parametric, Polar, and Vector-Valued Functions

Problem

A parametric curve is traversed from t=4t=4 down to t=1t=1, so that the xx–coordinate decreases throughout the motion. In one or two sentences, explain how this choice of limits of integration affects the sign of the value of ∫y dx\displaystyle \int y \, dx compared with integrating from t=1t=1 to t=4t=4.

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