Evaluate \(I=\int_{C}(\sin x+y) d x+(3 x+y) d y\) for the nonclosed path \(A B C D\) in Figure 20. Use the method of Exercise 14.

Data From Exercise 14

Compute the line integral of \(\mathbf{F}(x, y)=\left\langle x^{3}, 4 xightangle\) along the path from \(A\) to \(B\) in Figure 19. To save work, use Green's Theorem to relate this line integral to the line integral along the vertical path from \(B\) to \(A\).

Transcribed Image Text:

D= (0, 6) A = (0, 0) y C = (2, 4) B=(2, 2) X