Use the Euler–Maclaurin formula to find $P_{k+1}$ where $P_{k+1}(n)=\sum_{j=1}^n j^k$ for $2\le k \le 10$

Question

I am not familiar with the Euler–Maclaurin formula. Any idea how to Use the Euler–Maclaurin formula to find $P_{k+1}$ where $P_{k+1}(n)=\sum_{j=1}^n j^k$ for $2\le k \le 10$? Thanks!