求定积分,写出解题步骤谢谢

2025-04-13 09:47:59
推荐回答(1个)
回答(1):

原式=∫(-1,1)(1-x)dx+∫(1,2)(x-1)dx
=(x-x²/2)|(-1,1)+(x²/2 -x)|(1,2)
=(1-1/2)-(-1-1/2)+(2-2)-(1/2-1)
=1/2 +3/2+1/2
=5/2