"integration by inversion" is actually just the substitution u=1/x, but when it's useful we give it a special name i suppose ¯\_(ツ)_/¯pic.twitter.com/s7qyKwl51I
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Note: this substitution is valid when the anti-derivative of f(x) is bounded
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I'm confused. What happened to the x^2 in the denominator when you swapped 1/x for x?
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I hate this
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this is really just the "method of change of variables" and multiplying by the differential, right? That seems much easier to understand and memorize. In any case, doing a y=1/x and other nonlinear transformations often save the day when solving some ODEs/PDEs
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yes this and my last post are just useful examples of u-sub
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why a fancy name for the more general substitution trick?
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