`int(1+x-x^(- 1))e^(x+x^(- 1))dx=`A. `(x+1)e^(x+x^(-1))+C`B. `(x-1)e^(x+x^(-1))+C`C. `-xe^(x+x^(-1))+C`D. `xe^(x+x^(-1))+C`

`int(1+x-x^(- 1))e^(x+x^(- 1))dx=`A. `(x+1)e^(x+x^(-1))+C`B. `(x-1)e^(

1.	`int(1+x-x^(- 1))e^(x+x^(- 1))dx=`A. `(x+1)e^(x+x^(-1))+C`B. `(x-1)e^(x+x^(-1))+C`C. `-xe^(x+x^(-1))+C`D. `xe^(x+x^(-1))+C`
Answer» Correct Answer - d Let `I=int(1+x-x^(-1))e^(x+x^(-1))dx` `rArrI=inte^(x+x^(-1))dx+intx(1-(1)/(x^(2)))e^(x+x^(-1))dx` `rArr I=inte^(x+x^(-1))dx+intunderset(I)(x)e^(x+x^(-1))d(x+x^(-1))` `rArr I=inte^(x+x^(-1))dx+xe^(x+x^(-1))-inte^(x+x^(-1))dx` `rArrI=xe^(x+x^(-1))+C`

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`int(1+x-x^(- 1))e^(x+x^(- 1))dx=`A. `(x+1)e^(x+x^(-1))+C`B. `(x-1)e^(x+x^(-1))+C`C. `-xe^(x+x^(-1))+C`D. `xe^(x+x^(-1))+C`

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