Q113 / 160 · AP EAMCET 2025 (24 MAY SHIFT 1) · Mathematics
For $0 < x < 1, \int\left[\operatorname{Tan}^{-1}\left(1-x+x^2\right)+\operatorname{Tan}^{-1}(1-x)\right] d x=$
- Correct answerA$x \operatorname{Cot}^{-1} x+\log \sqrt{1+x^2}+c$
- B$\mathrm{x} \operatorname{Tan}^{-1} \mathrm{x}-\log \left(1+\mathrm{x}^2\right)+\mathrm{c}$
- C$x \operatorname{Cot}^{-1} x+\frac{3}{4} \log \left(1+x^2\right)+c$
- D$x \operatorname{Tan}^{-1} x-\frac{3}{4} \log \sqrt{1+x^2}+c$
Hence, the correct answer is option: 'A'.