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Dear Pragya
I= ∫ { 1 / [ cos ( x - a ). cos ( x - b ) ] } dxI = csc(a-b) • ∫ { sin(a-b) / [ cos(x-a). cos(x-b) ] } dx= csc(a-b) • ∫ { sin [ ( x-b) - (x-a) ] / [ cos(x-a).cos(x-b) ] } dx= csc(a-b) • ∫ { [ sin(x-b).cos(x-a) - cos(x-b).sin(x-a) ] / [ cos(x-a).cos(x-b) ] } dx..= csc(a-b) • ∫ [ tan(x-b) - tan(x-a) ] dx..= csc(a-b) • { ln | sec(x-b) | - ln | sec(x-a) | } + C..= csc(a-b) • ln | sec(x-b) / sec(x-a) | + C..= csc(a-b) • ln | cos(x-a) / cos(x-b) | + C
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