Subjects/Calculus II/Sequences and series/Integral testSection 14.6Integral testIf f is positive, continuous, and decreasing, and an=f(n), thenFormulaCopy LaTeXn=N∑∞anView detail →andFormulaCopy LaTeX∫N∞f(x)dxView detail →have the same behavior.Remainder bound:Copy LaTeX∫N+1∞f(x)dx≤RN≤∫N∞f(x)dx.View detail →