**1**To make use of some applied strategies in the trapezoidal rule to determine the integral of a function.**2**To describe the geometric process of the trapezoidal rule to identify the integral of a function.**2.1**Describe the form and area of trapezoids. 2.2 Break down in trapezoids the area under the curve of a function.**2.2**Break down in trapezoids the area under the curve of a function.**2.3**Relate concavity and convexity of a function to over- and under-approximation to the area.**2.4**Interpret the algebraic expression representing the area under a curve by adding up areas of trapezoids.**2.5**Recognize the trapezoidal rule as a technique for approximating the integral of a function with a margin of error.**2.6**Solve problem situations of curved surface areas making use of the trapezoidal rule.**2.7**Compare procedures developed to find the area under a curve by breaking it down in rectangles and trapezoids.

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