Is there a particular way to get the partial sum easier than just adding the terms up?(adsbygoogle = window.adsbygoogle || []).push({});

In this formula it would take a while to add up the terms if I wanted to use n=20:

[tex] S_{n}+\int ^{\infty}_{n+1}f(x) dx\leqs\leq S_{n}+\int ^{\infty}_{n}f(x)dx [/tex]

How would I get the exact value of the sum?

**Physics Forums | Science Articles, Homework Help, Discussion**

Join Physics Forums Today!

The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

# Partial Sum and Complete Sum

**Physics Forums | Science Articles, Homework Help, Discussion**