The discussion centers on evaluating the line integral ∫(ydx + xdy) along the path C defined by y = sin(x) from (0,0) to (π/2,0). The original poster identifies a potential error in the textbook's answer of π/2, asserting that the endpoint (π/2,0) does not satisfy y = sin(x). A participant clarifies that the problem statement likely intended to specify x ranging from 0 to π/2, resulting in the correct endpoints of (0,0) and (π/2,1), which aligns with the integral's evaluation yielding π/2.
PREREQUISITESStudents and educators in calculus, particularly those focusing on vector calculus and line integrals, as well as anyone verifying textbook solutions in mathematical analysis.
armolinasf said:Homework Statement
Evaluate the line integral:
int(ydx+xdy) where the path C is y=sinx from (0,0) to (pi/2,0)
Homework Equations
The Attempt at a Solution
(pi/2,0) is not a solution to y=sinx. I could use the fundamental theorem but for my potential function I get F(x,y)=xy which would give me zero with those endpoints...answer in the book gives pi/2. Is this an error? Thanks