`intx.tan^-1xdx`A. `(1)/(2)(x^(2)+1)tan^(-1)x-(1)/(2)x+C`B. `(1)/(2)(x^(2)-1)tan^(-1)x-(1)/(2)x+C`C. `(1)/(2)(x^(2)+1)tan^(-1)x+(1)/(2)x+C`D. none of these

`intx.tan^-1xdx`A. `(1)/(2)(x^(2)+1)tan^(-1)x-(1)/(2)x+C`B. `(1)/(2)(x

1.	`intx.tan^-1xdx`A. `(1)/(2)(x^(2)+1)tan^(-1)x-(1)/(2)x+C`B. `(1)/(2)(x^(2)-1)tan^(-1)x-(1)/(2)x+C`C. `(1)/(2)(x^(2)+1)tan^(-1)x+(1)/(2)x+C`D. none of these
Answer» Correct Answer - A `I=intunderset(II)(x)underset(I)(tan^(-1))xdx=(tan^(-1)x)(x^(2))/(2)-(1)/((1+x^(2)))(x^(2))/(2)dx` `=(1)/(2)x^(2)(tan^(-1))-(1)/(2)int(1-(1)/(1+x^(2)))dx=(1)/(2)x^(2)tan^(-1)x-(1)/(2)x+(1)/(2)tan^(-1)x+C` `=(1)/(2)(x^(2)+1)tan^(-1)x-(1)/(2)x+C`