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victus00 [196]
3 years ago
5

∫(sec(lnx)tan(lnx)) /x

Mathematics
1 answer:
Dafna11 [192]3 years ago
7 0
Substitute y=\ln x\implies\mathrm dy=\dfrac{\mathrm dx}x, then the integral becomes


\displaystyle\int\frac{\sec(\ln x)\tan(\ln x)}x\,\mathrm dx=\int\sec y\tan y\,\mathrm dy
=\sec y+C

=\sec(\ln x)+C
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Selection A is appropriate.

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