- #1
Dumbledore
- 33
- 0
Homework Statement
Find the area of the curve 2/sqrt(x) bounded by x = 0, y = 3, y = 1
Homework Equations
The textbook claims the answer is 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?