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Mathematics 16 Online
OpenStudy (anonymous):

my next problem is +++

OpenStudy (anonymous):

\[\int\limits_{ }^{ }x \sec^2x~dx\]~~~~~~~~~~~~~~~~~~~~~~~~~~~~~

OpenStudy (perl):

integration by parts :)

OpenStudy (anonymous):

yup, tnx:) \[\int\limits_{ }^{ }x \sec^2x~dx=x \sec^2x - \int\limits_{ }^{ }\tan x~dx\]\[\int\limits_{ }^{ }x \sec^2x~dx=x \sec^2x - \int\limits_{ }^{ }\tan x~dx=x \sec^2x-\ln(\cos x)+C\]

OpenStudy (anonymous):

wow, I integrated tanx in my head lol!!

OpenStudy (anonymous):

I made a mistake it is positive ln(cos x)

OpenStudy (anonymous):

because u=cos(x) -du=sin(x) dx <<<<<

OpenStudy (anonymous):

\[\int\limits_{ }^{ }x \sec^2x~dx=x \sec^2x+\ln(\cos x)+C\]

OpenStudy (anonymous):

yes:)

OpenStudy (anonymous):

tnx for looking y'all, got another one

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