In integration, look for a function and its derivative hidden together—that is substitution territory. If you see two different functions multiplied, like \( x \sin x \), lean toward parts. The thirty seconds are for spotting this pattern, not solving.
My own life’s pattern? My son’s job search in Bangalore—every day I watch for the hidden link between his degree and an opening, just as I taught students to look for the derivative tucked inside.
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