In SQL, It is very easy to establish a connection string.
Actually, you need to replace the username and password with Integrated Security=SSPI;
Therefore the connection string should be:
<connectionStrings>
<add name="NorthwindContex"
connectionString="data source=localhost;
initial catalog=northwind;persist security info=True;
Integrated Security=SSPI;"
providerName="System.Data.SqlClient" />
</connectionStrings>