问题 解答题
(1)求定积分∫0sinxdx;
(2)计算(
1-i
2
)16+
(1+2i)2
1-i
答案

(1)∫0sinxdx=-cosx|0 =-cos2π-(-cos0)=-1-(-1)=0

(2)(

1-i
2
)16+
(1+2i)2
1-i
=[(
1-i
2
)
2
]
8
+
-3+4i
1-i
=(-i)8+
(-3+4i)(1+i)
(1-i)(1+i)
=1+
-7+i
2
=-
5
2
+
1
2
i

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