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In this video, the author explains how to calculate a vector function by parametrizing the function, evaluating the limits of the function's domain and range, and solving the integral.

**00:00:00**In this video, the author explains how to integrate functions that are vectorial. First, he explains how to parametrize the function and then evaluates the limits of the function's domain and range. Next, he explains how to separate the function's integral into differentials and constants, and then solves the integral. Finally, he explains how to solve an integral for a position in a coordinate system.**00:05:00**In this video, we'll be calculating a vector function. We'll start by changing the variable 2 to a square root and then the differential. We'll notice that the differential gets tired quickly, so we change it to a less senous t. We then find the integral of this and it's very similar to the previous integral. We then ubicate so that t is the lower limit and solve for x. The result is x = 1.564 and the function is zero at the point (1, 1). We then solve for y and get y = 1.564 - 1 = 0.864. We also get y = 0 at the point (1, -1). We then solve for x and get x = 1.564 - 0.864 = 1.328. We then solve for y and get y = 0.864 - 1.328 = 0.528. We then solve for x and get x = 1.328 - 0.528 = 1.064. We then solve for y and get y = 1.064 - 0.528 = 0.816. We then solve for x and get x = 1.064 - 0.816 = 0.752. We then solve

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