Edexcel c4 integration by substitution
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Edexcel c4 integration by substitution

[From: ] [author: ] [Date: 12-04-18] [Hit: ]
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using the substitution u=lnx, find ∫ 1/xlnx dx

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u=lnx, so du=(1/x)dx. As the integral of du/u is ln(l u l), the answer is ln(l lnx l) + constant, or (ln of the absolute value of lnx) plus a constant of integration.
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