What is the value of `int(sqrtx + x)^(-1) dx`?A. `(1)/(2)log(1+sqrtx)+C`B. `2log (1+sqrtx)+C`C. `(1)/(2)log(1+sqrtx)+C`D. `3log(1+sqrtx)+C`

What is the value of `int(sqrtx + x)^(-1) dx`?A. `(1)/(2)log(1+sqrtx)+

1.	What is the value of `int(sqrtx + x)^(-1) dx`?A. `(1)/(2)log(1+sqrtx)+C`B. `2log (1+sqrtx)+C`C. `(1)/(2)log(1+sqrtx)+C`D. `3log(1+sqrtx)+C`
Answer» Correct Answer - B Let `l=int(dx)/(x+sqrtx)=int(1)/(sqrtx(1+sqrtx))dx` `"Put "1+sqrtx-t rArr (1)/(sqrtx)dx=2dt` `therefore" "l=2 int(1)/(t)dt=2og t+C` `" "=2 log(1+sqrtx)+C`