For a right Riemann sum, for {{MATH_238}}, we determine the sample points as follows: {{MATH_239}} Now, we can approximate the area with a right Riemann sum. {{ENV_240}} We can now simplify the last sum by using the distribution, commutativity and associativity properties of a sum. {{ENV_241}} In the last sum, the constant {{MATH_242}} is a common factor, so we can again apply the distribution property and obtain the following {{MATH_243}} In the first sum above, the constant {{MATH_244}} is added {{MATH_245}} times, and we have a formula for the second sum. Recall: {{MATH_246}}. Therefore, {{MATH_247}} We can simplify this expression and obtain {{MATH_248}} This approximation is an {{CMD_249}}{{CMD_250}}overestimate{{CMD_251}}{{CMD_252}}underestimate{{CMD_253}}{{CMD_254}}.