First i made a u-substitution by making u = ln x. After which i got Then i went back to compute the improper integral again , but couldn't solve it. Did i made any wrong move? Thanks
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Originally Posted by xcluded First i made a u-substitution by making u = ln x. After which i got Then i went back to compute the improper integral again , but couldn't solve it. Did i made any wrong move? Thanks That's the correct substitution, but you set it back up incorrectly. Once the substitution is made, should not appear in the new integral. It turns out that we should get Does this make sense?
Originally Posted by xcluded First i made a u-substitution by making u = ln x. After which i got Then i went back to compute the improper integral again , but couldn't solve it. Did i made any wrong move? Thanks Since by the fundamental theorem of calculus: CB
Originally Posted by Chris L T521 That's the correct substitution, but you set it back up incorrectly. Once the substitution is made, should not appear in the new integral. It turns out that we should get Does this make sense? Hmm why does the lower limit becomes 1 ?
Originally Posted by xcluded Hmm why does the lower limit becomes 1 ? You substitute with the lower limit of x being . So the lower limit of u is
Thanks everyone !
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