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DIPTI PUBLICATION ( AP EAMET)-PARTIAL FRACTIONS-EXERCISE 1
- If 1/(x^(4)+x^(2)+1)=(Ax+B)/(x^(2)+x+1)+(Cx+D)/(x^(2)-x+1) " then "C+D...
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- If (2x+1)/((x-1)(x^(2)+1))=A/(x-1)+(Bx+C)/(x^(2)+1) " then "A+B+C=
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- If (2x^(2)+3x+4)/((x-1)(x^(2)+2))=A/(x-1)+(Bx+C)/(x^(2)+2), " then "B=
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- If A/x+(Bx)/(x^(2)+1)=(5x^(2)+2)/(x^(3)+x), " then "B=
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- If (x+1)^(2)/(x^(3)+x)=A/x+(Bx+C)/(x^(2)+1) " then "Sin^(-1)(A/C)=
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- (2x^(3)+x^(2)-5)/(x^(4)-25)=(Ax+B)/(x^(2)-5)+(Cx+1)/(x^(2)+5) rArr (A,...
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- If (ax-1)/((1-x+x^(2))(2+x))=x/(1-x+x^(2))-1/(2+x) " then " a=
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- If (3x^(3)-2x^(2)-1)/(x^(4)+x^(2)+1)=(Ax+B)/(x^(2)+x+1)+(Cx+D)/(x^(2)+...
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- x/((x-1)(x^(2)+1)^(2))=
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- 1/((x-3)(x^(2)+1)^(2))=
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- (2x-3)/((x-1)(x^(2)+1)^(2))=
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- If (1)/((ax+b)(cx+d))=(A)/(ax+b)+(B)/(cx+d) then (1)/((ax+b)^(2)(cx+d)...
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- If (1)/((x-a)(x^(2)+b))=(A)/(x-a)+(Bx+C)/(x^(2)+b) then (1)/((x-a)(x^(...
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- To find the coefficient of x^(4) in the expansion of (3x)/((x-2)(x-1))...
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- The coefficient of x^(3) " in " (5x+6)/((2+x)(1-x)) is
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- If abs(x) lt 1 then the coefficient of x^(2) in the expansion of (3x)/...
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- The coefficient of x^(n) in the expansion of (1)/(x^(2)-5x+6)"for"|x|l...
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- The coefficient of x^(n) in (x-4)/(x^(2)-5x+6) is
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- If (x-4)/(x^(2)-5x+6) can be expanded in the ascending powers of x, th...
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- The coefficient of x^(n) " in " x/((x-a)(x-b)) is
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