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Calculus1 18 Online
OpenStudy (anonymous):

Trigonometry Integration HELP

OpenStudy (anonymous):

\[\int\limits_{}^{} \frac{ 1-\sin(x) }{ \cos(x) }dx\]

OpenStudy (anonymous):

is ur question (1- sinx)/cosx

OpenStudy (anonymous):

yes

OpenStudy (anonymous):

then we know (a+b)/c =a/c +b/c

OpenStudy (anonymous):

so (1- sinx)/cosx =1/cosx -sinx/cosx

OpenStudy (anonymous):

actually we r simplifying the question first

OpenStudy (anonymous):

now 1/cosx =secx

OpenStudy (anonymous):

and sinx/cosx =tanx

OpenStudy (anonymous):

now i hope its clear to u...

OpenStudy (anonymous):

HOW DID YOU INTEGRATE >>>>>> ∫(secx -tanx)dx <<<<<<<

OpenStudy (anonymous):

oops !!!!!!!!!!!! ∫secx dx =ln (secx+tanx)

OpenStudy (anonymous):

so ∫(secx -tanx)dx =ln (secx+tanx) -lnsecx +c

OpenStudy (anonymous):

THANK YOU VERY MUCH

OpenStudy (anonymous):

@S0fw0N thanks for correcting

OpenStudy (anonymous):

welcome

OpenStudy (anonymous):

OpenStudy (anonymous):

THANKs @stgreen

OpenStudy (anonymous):

welcome

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