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Mathematics 21 Online
OpenStudy (anonymous):

what is the meaning of sec(x) ?? explain me by giving examples ...

OpenStudy (angela210793):

sec(x)=1/cosx

OpenStudy (anonymous):

ahh then integral(sec(dx)*dx) = log(tan(x) + sec(x))

OpenStudy (anonymous):

?

OpenStudy (anonymous):

sec is the reciprocal of cos

OpenStudy (anonymous):

cos = adjacent over hypotenuse

OpenStudy (anonymous):

so sec = hypotenuse over adjacent

OpenStudy (anonymous):

and yes , integral of sec is ln(tanx +secx)

OpenStudy (anonymous):

you can get that result by multiplying sec(x) top and bottome with tan(x) +sec(x)

OpenStudy (anonymous):

and then you will have integral\[\frac{\sec(x)\tan(x)+\sec^2(x) }{\sec(x) +\tan(x)}\]

OpenStudy (anonymous):

which is of the form \[\frac{f'(x)}{f(x)}\]

OpenStudy (anonymous):

thanks :D

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