Evaluate the integral. \int x\sec x\tan x dx

Lennie Carroll 2021-11-09 Answered
Evaluate the integral.
xsecxtanxdx
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Expert Answer

SabadisO
Answered 2021-11-10 Author has 108 answers
Step 1
u=x
du=dx
dv=secxtanxdx
v=secxtanxdx
v=secx
Step 2
Then we integrate by parts
xsecxtanxdx
=udv
=uvvdu
=xsecxsecxdx
=xsecxln|secx+tanx|+C
Answer: xsecxln|secx+tanx|+C
C=integrating constant
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