What is the Maclaurin series for ∫0x11+t2dt\int_0^x \frac{1}{1+t^2} dt∫0x1+t21dt?
∑n=0∞(−1)nx2n+12n+1\sum_{n=0}^{\infty} \frac{(-1)^n x^{2n+1}}{2n+1}∑n=0∞2n+1(−1)nx2n+1
∑n=0∞x2n+12n+1\sum_{n=0}^{\infty} \frac{x^{2n+1}}{2n+1}∑n=0∞2n+1x2n+1
∑n=0∞(−1)nx2n\sum_{n=0}^{\infty} (-1)^n x^{2n}∑n=0∞(−1)nx2n
∑n=0∞(−1)nxnn\sum_{n=0}^{\infty} \frac{(-1)^n x^{n}}{n}∑n=0∞n(−1)nxn