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Mathematics 17 Online
OpenStudy (praxer):

Integration evaluation

OpenStudy (praxer):

\[\int\limits_{?}^{?} \frac{ 1 }{ \cos(x-a) \cos(x-b) }\]

hartnn (hartnn):

you know what is cos A cos B formula ? apply it here

OpenStudy (praxer):

ok lets try.

hartnn (hartnn):

cos (A+B)+cos (A-B)

hartnn (hartnn):

half of that

hartnn (hartnn):

note while doing A_B, the x will cancel out

OpenStudy (praxer):

hey, how about multiplying both numerator and denominator by sin(a-b) and then convert it into sin { (x-a) - (x-b) }

OpenStudy (praxer):

sorry by sin (b-a)

hartnn (hartnn):

that might work, let me try...my method is a bi lengthy one

hartnn (hartnn):

yes, thats simplifies nicely

OpenStudy (praxer):

ok, let me complete it..

OpenStudy (praxer):

@hartnn

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