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Extension: Calculating Areas Bounded by Parametric Curves

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Explanations 1

As you may have already learned, ∫ab∣f(x)∣ dx\int_a^b|f(x)|\ dx∫ab∣f(x)∣ dx represents area under the graph of the Cartesian equation f(x)f(x)f(x) on the interval [a,b][a,b][a,…
By Chong Jing Quan

Problems 1

What is the area under the parametric curve (x(t),y(t))=(t2,100t3)(x(t),y(t)) = (t^2, 100t^3)(x(t),y(t))=(t2,100t3) traced out over t∈[0,1]t\in [0,1]t∈[0,1]?