We know that the net area of the region between a curve {{MATH_289}} and the {{MATH_290}}-axis on {{MATH_291}} is given by {{MATH_292}} On the other hand, if we want to know the {{CMD_293}}geometric area{{CMD_294}}, meaning the ``actual'' area, we compute {{MATH_295}} {{CMD_296}} The graph of a function {{MATH_297}} is given in the figure below. {{CMD_298}} {{ENV_299}} {{CMD_300}} {{CMD_301}} {{CMD_302}} Express the geometric area of the region between the curve {{MATH_303}} and the {{MATH_304}}-axis on the interval {{MATH_305}} as a definite integral. {{CMD_306}} Express the geometric area of the region between the curve {{MATH_307}} and the {{MATH_308}}-axis on the interval {{MATH_309}} in terms of definite integrals of {{MATH_310}}. {{CMD_311}} Express the geometric area of the region between the curve {{MATH_312}} and the {{MATH_313}}-axis on the interval {{MATH_314}} in terms of areas {{MATH_315}}, {{MATH_316}}, {{MATH_317}} and {{MATH_318}}.