解答题
24.利用格林公式计算∫L(exsiny+x—y)dx+(excosy+y)dy，其中L是圆周y=
【正确答案】I=∫L(exsiny+x—y)dx+(excosy+y)dy
=
(exsiny+x—y)dx+(excosy+y)dy
而
(exsiny+x—y)dx+(excosy+y)dy=
(exsiny+x—y)dx+(excosy+y)dy=∫02axdx=2a2，
所以∫L(exsiny+x—y)dx+(excosy+y)dy=
=
(exsiny+x—y)dx+(excosy+y)dy而
(exsiny+x—y)dx+(excosy+y)dy=(exsiny+x—y)dx+(excosy+y)dy=∫02axdx=2a2，所以∫L(exsiny+x—y)dx+(excosy+y)dy=
【答案解析】