Problem 982 (difficulty: 4/10)

Use Euler-Maclaurin summation to find

\(\displaystyle a)\ \sum_{k=1}^n k^5;\qquad\qquad b)\ \sum_{k=1}^n k^3(n-k)^3.\)

Give me another random problem!

Subject, section:
Requested difficulty:
Request for a concrete problem:I want problem no.

Supported by the Higher Education Restructuring Fund allocated to ELTE by the Hungarian Government