Please help me out. Thank you

Question

Write  as a definite integral.

Answer 1

This is right integral sum for function f(x) = x¹⁰. If k = 0 then then we get x = 5, if k = n, then x = 5 + 2 = 7.

Then Δx = (7 - 5)/n = 2/n. So this limit present ∫₅⁷x¹⁰dx.

Answer: ∫₅⁷x¹⁰dx.