GATE Civil 2022 Set 2 | Question: 2

Question

$\displaystyle{}\int \left( x-\frac{x^{2}}{2} + \frac{x^{3}}{3} – \frac{x^{4}}{4}  + \dots \right) dx$ is equal to

• A. $\frac{1}{1+x} + $ Constant
• B. $\frac{1}{1+x^{2}} + $ Constant
• C. $-\frac{1}{1-x} + $ Constant
• D. $-\frac{1}{1-x^{2}} + $ Constant