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Reciprocal Substitution
For integrals containing both $$x$$ and $$1/x$$, use:
$$x=\frac{1}{t}$$
then:
$$dx=-\frac{dt}{t^2}$$
Usage
- Useful when the interval or integrand has reciprocal symmetry.
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Reciprocal Substitution
For integrals containing both $$x$$ and $$1/x$$, use:
$$x=\frac{1}{t}$$
then:
$$dx=-\frac{dt}{t^2}$$
Usage
- Useful when the interval or integrand has reciprocal symmetry.
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