From the Institute for Christian Leadership. Recognize that different disciplines lend themselves to integration in different ways. Some disciplines lend themselves to direct integration. Some disciplines are marginal.
Some disciplines require that one get at the history and philosophy of the discipline.
For example, a Botanist might want to take sides in the debate about whether Gregor Mendel fudged his data to get such good results, based on Mendel's character as a monk. My mutual submission to my wife is incarnational integration because Mathematics is not about marriage. Keep a notebook or computer file of great quotations. I have been attempting this kind of integration in Mathematics for the past couple decades. Not setting dates for Easter, nor balancing the church's accounts.