IBP Challenge (1)pic.twitter.com/54ZGBZA8Pc
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New Thread: Integration By Parts Challenge Claim: Integration By Parts is *never* necessary. In this thread I invite you bring me integrals you think necessitate IBP in order to be evaluated, and I will evaluate them by other means.
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IBP Challenge (3): Not sure how IBP would have helped this one, but an integral challenge nonetheless. Challenge by
@SamuelGWalters (yes I know it can be done with residues)pic.twitter.com/G2ut5BGKY7
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IBP Challenge (4): ∫eˣ sin(x) dx sans Integration by Parts.pic.twitter.com/JlLf9xWh1H
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This integral can't be done in closed form without bounds.
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How about the integral: \int \frac{x^3e^{x^2}}{(x^2+1)^2} dx ?
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I see how to do this one haha.. the denominator gave it away ;)
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The importance of Integration-by-Parts is not so much to evaluate particular integrals, but as an aid in dealing with differential operators. This includes adjoints and self-adjointness, weak solutions, finite element approximation, etc. I don't know how to do these without it.
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That is really a very interesting point
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