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10 cards from this deck
Reverse Chain Rule
When integrand is a product of a function and its derivative
Choose uuu as inner function whose derivative appears in integrand
Replace all x-terms with u-terms
ln∣f(x)∣+c\ln |f(x)| + cln∣f(x)∣+c
1n+1(f(x))n+1+c\frac{1}{n+1}(f(x))^{n+1} + cn+11(f(x))n+1+c
When denominator is factorised or can be factorised
1+tan2x1 + \tan^2 x1+tan2x
secxtanx\sec x \tan xsecxtanx
By parts: product of unrelated functions; Substitution: derivative relationship exists
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