Evaluate ∫01arctanxxdx\int_0^1 \frac{\arctan x}{x} dx∫01xarctanxdx.
π/4\pi/4π/4
∑n=0∞(−1)n2n+1\sum_{n=0}^{\infty} \frac{(-1)^n}{2n+1}∑n=0∞2n+1(−1)n
111
∑n=0∞(−1)n(2n+1)2\sum_{n=0}^{\infty} \frac{(-1)^n}{(2n+1)^2}∑n=0∞(2n+1)2(−1)n