The integral `int(1+x-1/x)e^(x+1/x)dx` is equal toA. `(x-1)e^(x+(1)/(x))+c`B. `xe^(x+(1)/(x))+c`C. `(x+1)e^(x+(1)/(x))+c`D. `-xe^(x+(1)/(x))+c`

The integral `int(1+x-1/x)e^(x+1/x)dx` is equal toA. `(x-1)e^(x+(1)/(x

1.	The integral `int(1+x-1/x)e^(x+1/x)dx` is equal toA. `(x-1)e^(x+(1)/(x))+c`B. `xe^(x+(1)/(x))+c`C. `(x+1)e^(x+(1)/(x))+c`D. `-xe^(x+(1)/(x))+c`
Answer» Correct Answer - B `int(1+x-(1)/(x))e^(x+(1)/(x))dx` `=int e^(x+(1)/(x))dx+int(1-(1)/(x^(2)))e^(x+(1)/(x))dx` `=int e^(x+(1)/(x))dx + xe^(x+(1)/(x))-int(d)/(dx)(x)e^(x+(1)/(x))dx` `=int e^(x+(1)/(x))dx + xe^(x+(1)/(x))-int e^(x+(1)/(x))dx" "[therefore int(1-(1)/(x^(2)))e^(x+(1)/(x))dx = e^(x+(1)/(x))]` `=int e^(x+(1)/(x))dx + xe^(x+(1)/(x))-int ex^(x+(1)/(x))dx = xe^(x+(1)/(x))+c`

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