(adsbygoogle = window.adsbygoogle || []).push({}); 1. The problem statement, all variables and given/known data

Find the area of the curve 2/sqrt(x) bounded by x = 0, y = 3, y = 1

2. Relevant equations

The textbook claims the answer is 3.

3. The attempt at a solution

I tried both vertical and horizontal elements, but got different answers than 3.

Here's my attempt at vertical elements:

since y = 1 is the farthest right value of x, I solve 1 = 2/sqrt(x) for X to find x upper, which is 4.

Now I form my integral: integral(4-0) of 2/sqrt(x) (dx)

Integrate: 4 * sqrt(x)

Solve the definite integral: (4 * sqrt(4)) - (4 * sqrt(0)) = 8

What have I done wrong?

**Physics Forums | Science Articles, Homework Help, Discussion**

Dismiss Notice

Join Physics Forums Today!

The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

# Homework Help: Area of simple curve bounded by

**Physics Forums | Science Articles, Homework Help, Discussion**