Wednesday, January 18, 2017
integral of 1 / [cos(x+a)cos(x+b)]
integral of 1 / [cos(x+a)cos(x+b)] by manipulating the angle in the numerator in terms of the angles of the denominator
introduce a term sin(a-b) in the numerator by multiplying the numerator and denominator with it.
Then express the angle (a-b) in terms of the denominator(x+a) and (x+b)
using (a-b) = (x+a) - (x+b)
use trigonometric formula for expanding the numerator and then split the numerator
then simplify and integrate the two terms separately.
PAGE 1 BASIC INTEGRATION
PAGE 2 INTEGRATION BY SUBSTITUTION
PAGE 3 INTEGRATION BY COMPLETION OF SQUARES
PAGE 4 INTEGRATION BY PARTS
PAGE 5 INTEGRATION BY MANIPULATION OF NUMERATOR IN TERMS OF DENOMINATOR
PAGE 6 INTEGRATION USING PARTIAL FRACTIONS
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