Consider the integral {{MATH_88}} Compute the integral in two ways: {{CMD_89}} {{CMD_90}} by interpreting the integral as the net area of the region between the curve {{MATH_91}} and the interval {{MATH_92}} on the {{MATH_93}}-axis; {{CMD_94}} using the definition of the definite integral, i.e. by computing the limit of Riemann sums. {{CMD_95}} {{CMD_96}} {{CMD_97}} {{CMD_98}} The area between the {{MATH_99}}-axis and the curve can be easily computed, since it is the area of a triangle. {{CMD_100}} {{ENV_101}} {{CMD_102}}