Consider the curve defined by the equation y = 2x^3 + 11x. Set up an integral that represents the length of curve from the point (0, 0) to the point (3, 87). ?_0^3 dx.
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First, we need to find the equation of the curve in terms of x. To do this, we can solve for y in terms of x: y^2 = 2r^3 + Ilx y = Ā±sqrt(2r^3 + Ilx) Note that we take the positive square root because we are interested in the part of the curve above the x-axis. Show moreā¦
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