A calculus problem by A Former Brilliant Member

Calculus Level 3

c o s ( x a ) c o s ( x b ) d x = \int { \cfrac { cos\quad (x-a) }{ cos\quad (x-b) } } dx\quad =

x sin (a+b)+cos(a-b).log[sec(x-b)]+c x cos(a-b)+ sin(a-b). log [sec(x-b)]+c x sin (a-b)+cos(b-a).log[sec(x-b)]+c x cos (a-b)+sin(a+b).log[sec(x-b)]+c

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1 solution

U Z
Sep 18, 2014

writ numerator as cos(x - b - (a -b) ) and then expand and its integration is simple

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