O Consider the parametric equation x(t) = t - 3t y(t) = 3t + 1 for...

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O Consider the parametric equation x(t) = t³ - 3t y(t) = 3t² + 1 for t€ [0, 1]. Evaluate the integrals for the arc length of the curve and surface area of the solid of revolution obtained by rotating the curve around the x-axis. Hint: Simplify then factor the expression under the square root. This same expression appears in both integrals. O Consider the parametric equation x(t) = t³ - 3t y(t) = 3t² + 1 for t€ [0, 1]. Evaluate the integrals for the arc length of the curve and surface area of the solid of revolution obtained by rotating the curve around the x-axis. Hint: Simplify then factor the expression under the square root. This same expression appears in both integrals.