If `int(e^(x-1))/((x^2-5x+4))2xdx=A F(x-1)+B F(x-4)+Ca n dF(x)=int(e^x)/xdx ,t h e n``A=-2/3`(b) `b=(4/3)e^3``A=2/3`(d) `d in R`A. `A= -2//3`B. `B=(4//3)e^(3)`C. `A=2//3`D. `B=(8//3)e^(3)`

If `int(e^(x-1))/((x^2-5x+4))2xdx=A F(x-1)+B F(x-4)+Ca n dF(x)=int(e^x

1.	If `int(e^(x-1))/((x^2-5x+4))2xdx=A F(x-1)+B F(x-4)+Ca n dF(x)=int(e^x)/xdx ,t h e n``A=-2/3`(b) `b=(4/3)e^3``A=2/3`(d) `d in R`A. `A= -2//3`B. `B=(4//3)e^(3)`C. `A=2//3`D. `B=(8//3)e^(3)`
Answer» Correct Answer - A::D `(2x)/((x-1)(x-4))=(C)/(x-1)+(D)/(x-4)` `2x=C(x-4)+D(x-1)` ` :. C= -2//3, D=8//3` ` :. int(e^(x-1))/((x^(2)-5x+4))2xdx=int e^(x-1)((-2//3)/(x-1)+(8//3)/(x-4))dx` `= -(2)/(3)F(x-1)+(8)/(3)e^(3)F(x-4)+C` ` :. A= -2//3, B=8//3e^(3)`

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If `int(e^(x-1))/((x^2-5x+4))2xdx=A F(x-1)+B F(x-4)+Ca n dF(x)=int(e^x)/xdx ,t h e n``A=-2/3`(b) `b=(4/3)e^3``A=2/3`(d) `d in R`A. `A= -2//3`B. `B=(4//3)e^(3)`C. `A=2//3`D. `B=(8//3)e^(3)`

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