Posted by **todi** on Monday, February 4, 2008 at 9:01pm.

Find the exact length of the curve analytically by antidifferentiation. You will need to simplify the integrand algebraically before finding an antiderivative.

1. y = (1/3)(x^2 + 2)^(3/2), from x = 0 to x = 3

and

2. x = (y^3)/3 + 1/(4y), from y = 1 to y = 3

[HINT: 1 + (dx/dy)^2 is a perfect square]

## Answer This Question

## Related Questions

- Calculus - For the function f(x) = x/(3x+1) find the equation of the line which ...
- derivative am i right or wrong - what is the antiderivative of 1/(x^2-2x+2)? ...
- Math - Find the exact length of the curve. x = 5cost - cos5t, y = 5sint - sin5t...
- math - Let C be the curve of intersection of the parabolic cylinder x2 = 2y, and...
- Antiderivative - What is the antiderivative of e^2x? I know the antiderivative ...
- MATH - 1.)Find the exact solution algebriacally, if possible: (PLEASE SHOW ALL ...
- math - Consider the function f(t)=2sec^2(t)–6t^2 . Let F(t) be the ...
- Math - Find the point on the curve x=4y-y^2 where the tangent to the curve is a ...
- Calculus - Alright, I want to see if I understand the language of these two ...
- Calculus - Consider the indefinite integral (6x^3+3x^2-19x-10)/(x^2-4)dx Then ...

More Related Questions