问题 填空题
π
2
0
cos2x
cosx+sinx
dx
=______.
答案

定积分

π
2
0
cos2x
cosx+sinx
dx

=

π
2
0
cos2x-sin2x
cosx+sinx
dx

=

π
2
0
(cosx-sinx)dx

=(sinx+cosx)|0 

π
2
=1-1=0.
故答案为:0.

选择题
单项选择题