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- Homework Statement
- Hi everyone.

I was studying an example of Kleppner's book and I have a question.

In this example, the path integral is calculated, starting from the point (0,0) and going to the point (0,1). The force is $$F = A(xy \hat{i}+ y^2 \hat{j})$$. The path followed is denoted by (a,b,c) (see figure).

- Relevant Equations
- $$W = \vec{F}\cdot \vec{dr}$$

In the book it is mentioned that, in path c, the line integral would be:

$$\int \vec{F}\cdot \vec{dr} = A \int_{1}^{0}xy dx = A\int_1^0 x dx = -\dfrac{A}{2}$$.

but I think that dx is negative in that case, the result would be positive, right?

$$\int \vec{F}\cdot \vec{dr} = A \int_{1}^{0}xy dx = A\int_1^0 x dx = -\dfrac{A}{2}$$.

but I think that dx is negative in that case, the result would be positive, right?