Consider {{MATH_165}}. Approximate the area between the graph of {{MATH_166}} and the {{MATH_167}}-axis on the interval {{MATH_168}} using a {{CMD_169}}right-endpoint{{CMD_170}} Riemann sum with {{MATH_171}} rectangles. {{CMD_172}} First note that the width of each rectangle is {{MATH_173}} The grid points define the edges of the rectangle and are seen below: {{CMD_174}} {{ENV_175}} {{CMD_176}} On the other hand, the sample points identify which endpoints we use: {{CMD_177}} {{ENV_178}} {{CMD_179}} It is helpful to collect all of this data into a table: {{MATH_180}} Now we may write a right Riemann sum {{MATH_181}} which evaluates to {{ENV_182}} and we find {{MATH_183}} {{CMD_184}} {{CMD_185}}