Count distinct between two date with date slicer for line chart

Hi, I'm new to Power BI & DAX.

I had learned a lot from posts in this community.

I encounter a problem and can not find a suitable way when I search the community.

Sample Source Data Table (called "Records"):
Date_of_Application user_id membership_period_start membership_period_end
2018/6/8                   a          2018/6/11                         2018/6/17
2018/6/8                   b          2018/6/11                         2018/6/13
2018/6/11                 c           2018/6/15                         2018/6/19

The result I try to generate from the "Records" table:

Every Day Distinct Member Count Table:
Date            Count     explain (Describe my problem, no need to be in the table)
2018/6/11   2             (a,b)
2018/6/12   2             (a,b)
2018/6/13   2             (a,b)
2018/6/14   1             (a)
2018/6/15   2             (a,c)
2018/6/16   2             (a,c)
2018/6/17   2             (a,c)
2018/6/18   1             (c)
2018/6/19   1             (c)

Every Week Distinct Member Count Table:
Week_Date_Start   Week_Date_End Count explain
2018/6/11             2018/6/17          3         (a,b,c)
2018/6/18             2018/6/24          1         (c)

Every Month Distinct Member Count Table:
Month_Date_Start Month_Date_End Count explain
2018/6/1               2018/6/30            3         (a,b,c)

The method I tried:

First, I come out this DAX:

2018_6_11_measure =
calculate(
DISTINCTCOUNT(RECORDS[user_id]),
FILTER(RECORDS, RECORDS[membership_period_start] <= DATE(2018,6,11)),
FILTER(RECORDS, RECORDS[membership_period_end] >= DATE(2018,6,11)))

Then, I create a Date Table

Date

2018/1/1

...

2018/6/1

...

2018/12/31

But I can not find out any way to relate Date table and Records table

Then, I try Power BI Line chart:

Axis : I want to put Date[Date]

Values: Records[user_id] , set to Count(Distinct)

And start play with Visual level filters or Slicer, but failed

Need Help