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whatlifeforme

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## Homework Statement

find the length of the following curve.

## Homework Equations

y=(2/3)(x^2 +1)^(3/2) from x=3 to x=9.

## The Attempt at a Solution

f'(x) = 2x^3 + 2x

f'(x)^2 = 4x^6 + 8x^4 + 4x^2

L = integral (3,9) sqrt(1+4x^6 + 8x^4 + 4x^2)