Which series converges to ∫0111+t4dt\int_0^1 \frac{1}{1+t^4} dt∫011+t41dt?
∑n=0∞(−1)n4n+1\sum_{n=0}^{\infty} \frac{(-1)^n}{4n+1}∑n=0∞4n+1(−1)n
∑n=0∞14n+1\sum_{n=0}^{\infty} \frac{1}{4n+1}∑n=0∞4n+11
∑n=0∞(−1)nn!\sum_{n=0}^{\infty} \frac{(-1)^n}{n!}∑n=0∞n!(−1)n
∑n=0∞1n4+1\sum_{n=0}^{\infty} \frac{1}{n^4+1}∑n=0∞n4+11