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Find the exact area of the surface obtained by rotating the curve about the x-axis.

y = sqrt(1+5x) from 1<x<7

2 answers

Integral of sqrt(1+5x) = 2/15 (1+5x)^3/2

evaluate at 7 and 1, and we have

4/5 (36-sqrt(6))

Oops. my bad. I read area, not surface area. MathMate did it right.

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