The key to evaluating difficult integrals is to avoid integration..pic.twitter.com/Zpe8LJSdhX
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"Adding The Bounds" integration trick. It's easy to see that this should be true if you think about it geometrically.pic.twitter.com/lFgetYyUYN
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mmm how about learning how to drive them ( to everywhere!) ?
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Is "adding the bounds" generally accepted as a valid evaluation in all cases when an integrand does not contain the bound variables within the given function; like the given example when the domain is a to b but the function is f(x)dx instead of something like f(a)da?
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Well, remember that variables of integration are just "dummy variables" in a sense.. evaluating \int_b^a f(a) da just doesn't make sense.. really it should be \int_b^a f(a')da'
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looks like u substitution to me but also seems like a useful trick to keep in your fingers
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Indeed the proof is straightforward substitution
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