Evaluate: `inttan^(-1)((3x-x^3)/(1-3x^2)) dx`A. `3xtan^(-1)x+(3)/(2)log(1+x^(2))+C`B. `3xtan^(-1)x-(3)/(2)log(1+x^(2))+C`C. `3xcos^(-1)x-(3)/(2)sqrt(1+x^(2))+C`D. `3xsin^(-1)x+(3)/(2)sqrt(1+x^(2))+C`

Evaluate: `inttan^(-1)((3x-x^3)/(1-3x^2)) dx`A. `3xtan^(-1)x+(3)/(2)lo

1.	Evaluate: `inttan^(-1)((3x-x^3)/(1-3x^2)) dx`A. `3xtan^(-1)x+(3)/(2)log(1+x^(2))+C`B. `3xtan^(-1)x-(3)/(2)log(1+x^(2))+C`C. `3xcos^(-1)x-(3)/(2)sqrt(1+x^(2))+C`D. `3xsin^(-1)x+(3)/(2)sqrt(1+x^(2))+C`
Answer» Correct Answer - B Put `x=tant andtdx=sec^(2)tdt`. `I=inttan^(-1)(tan3t)sec^(2)tdt=3underset(I)(t)underset(II)(sec^(2))tdt`.