Messages

1

Chapter 1 / Re: 1.6 Q5

« on: October 06, 2020, 06:29:36 PM »

Hi Nathan.

The mistake seems to be in your bounds of integration, not the process itself. With the way you parameterized the line, the integral should be from 0 to 1, not 0 to i.

2

Chapter 1 / Section 1.6.2, Question 19.

« on: October 06, 2020, 05:15:01 PM »

The question is:
Suppose that ∫(Pdx+Qdy)=0 holds for each closed curve γ in D. Show that Pdx+Qdy is an exact differential.

I have tried following the hint but keep getting dH/dx = P(x,y) - P(x₀,y₀).
Any help would be appreciated!