IntegrationTools[Parts] - perform integration by parts
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Calling Sequence
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Parts(t, u)
Parts(t, u, v)
Parts(t, u, applytoall)
Parts(t, u, v, applytoall)
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Parameters
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t
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expression containing definite or indefinite integrals
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u
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u-term
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v
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v-term
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Description
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The Parts command performs integration by parts in an integral: . A similar transformation can be applied to definite integrals as well. By default the Parts command will apply the transformation to t only if it contains a single integral. In case of multiple integrals an error will be thrown. The Parts command can be forced to apply the same transformation to all integrals in t by setting the applytoall option to true.
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The first parameter t is the integral.
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The second parameter u is the u-term.
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The third (optional) parameter v is the v-term. If this term is not specified it will be calculated from the first two parameters.
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Options
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If there is more than one integral in the input, the applytoall option will perform integration by parts on each.
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Examples
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Definite integral.
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Specifying both u and v.
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Dealing with multiple integrals
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