Difference between Riemann sums and Riemann integrals

Question

I have a question that says "Calculate the following Riemann integrals". I know about Riemann sums. Is there any difference between Riemann sums and Riemann integrals?

Answer 1

The Riemann integral is that integral defined in terms of limits of Riemann sums (as opposed to, e.g., the Lebesgue integral).

Answer 2

I suggest you read the definition of the Riemann integral carefully. You will very rarely find a case where a Riemann integral can be calculated by using a sum.