Question

大学高等数学定积分

大学高等数学定积分希望能有步骤

Answer 1

应该是L=OA+AH,直接计算：
∫(x+y)dx-(x-y)dy
=∫OA(x+y)dx-(x-y)dy+∫AH(x+y)dx-(x-y)dy
=∫(0,1)(x)dx+∫(0,1)(-1+y)dy
=1/2-1+1/2=0

Answer 2

=∫(0到1)sinude^u
=sinue^u-∫e^udsinu
=sinue^u-∫cosude^u
=sinue^u-cosue^u+∫e^udcosu
=sinue^u-cosue^u-∫sinude^u
=(sinue^u-cosue^u)/2