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Default How to use Date range function in Sum(if....)

I have three rows as follows
Column A Column B
11-Jul-2006 $10
12-Jul-2006 $20
03-Aug-2006 $65

Now I want to calculate the monthly total in different rows.
For July, Its result would be $30
For Aug, Its result would be $65.

When I try the following formula, it is not working when I give the date range
SUM(IF(H41:H43DATE(2006,7,1)*(H41:H43<DATE(2006,7 ,31),I41:I43))

But if I give only one condition, either above the date or below the date it
is working fine. What is the way to enter the date ranges in the formula?

Thanks in Advance



 
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