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integration of (1-x)/(4x^2 -4x-3)
Asked by indrajitrana2005 | 16 Feb, 2024, 08:00: PM
answered-by-expert Expert Answer

img ...............................(1)

Denominator of integrand is (4x2 - 4x -3 ) = (2x-3) (2x+1)

Hence integrand is converted into partial fraction as

img

we get

img

By equating the coefficients on both sides of above expression, we get

A = -1/8  and B = -3/8

Hence we rewrite eqn.(1) as

img

img

img

 

 

Answered by Thiyagarajan K | 17 Feb, 2024, 09:43: AM
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