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The definite integral computes the net area (sum of signed areas) between {{MATH_138}} and the {{MATH_139}}-axis on the interval {{MATH_140}}. {{COMMENT_141}} {{COMMENT_142}} {{COMMENT_143}} {{COMMENT_144}} {{COMMENT_145}} {{COMMENT_146}} {{CMD_147}} Consider the graph of a function {{MATH_148}} on the interval {{MATH_149}}. {{CMD_150}} {{ENV_151}} {{CMD_152}} Compute the definite integral {{MATH_153}} {{CMD_154}} The net area in the figure above is given by {{MATH_155}} The areas {{MATH_156}} and {{MATH_157}} are easily computed, since both are the areas of triangles. Therefore, {{MATH_158}} {{CMD_159}} {{CMD_160}} There is more to this example, than just a value of the integral.

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