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In this article we are going to discuss about solving approach of partial fraction questions. Partial fraction is widely used in integration problems in 12th level mathematics also in various competitive examinations. General method ( p x + q ) / ( x − a ) ( x − b ) . = A / ( x − a ) . + B / ( x − b ) For example: Ques-: 2x + 3 (x+1)(x-3) Solution: 2x+3 ------------(1) (x+1)(x-3) Seperating the equation 2x+3 = A + B -------(2) (x+1)(x-3) (x+1) (x-3) 2x+3=A(x-3)+B(x+1)............(3) *for. (x+1)=0. We have x=-1 On substituting 2+3=A(-1-3) 1=-4A , A= -1/4 * Again if (x-3)=0 then x=3 again substituting 2(3)+3=B(3+1) 9=4B, B =9/4 A and B value equation (2)partial fraction is -1
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