Express the arc length of g(x) = x over [0, 1] as a definite integral. Then use
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Express the arc length of g(x) = √x over [0, 1] as a definite integral. Then use the substitution u = √x to show that this arc length is equal to the arc length of y = x2 over [0, 1] (but do not evaluate the integrals). Explain this result graphically.
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Let gxx Then 1 gx 1 4x 4x and S S 1 With the substi...View the full answer
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