Let $F ( x ) = \int _ { 5 } ^ { x } 5 t ^ { 2 } d t$

question 54

Short Answer

Let $F ( x ) = \int _ { 5 } ^ { x } 5 t ^ { 2 } d t$ .
a. Use Part 1 of the Fundamental Theorem of Calculus to find $F ^ { \prime } ( x )$ .
b. Use Part 2 of the Fundamental Theorem of Calculus to integrate $\int _ { 5 } ^ { x } 5 t ^ { 2 } d t$ to obtain an alternative expression for $F ( x )$ .
c. Differentiate the expression for $F ( x )$ found in part (b). The Fundamental Theorem of Calculus, Part 1 If $f$ is continuous on $[ a , b ]$ , then the function $F$ defined by $F ( x ) = \int _ { a } ^ { x } f ( t ) d t \quad a \leq x \leq b$ is differentiable on $( a , b )$ , and $F ^ { \prime } ( x ) = \frac { d } { d x } \int _ { a } ^ { x } f ( t ) d t = f ( x )$ The Fundamental Theorem of Calculus, Part 2
If $f$ is continuous on $[ a , b ]$ , then $\int _ { a } ^ { b } f ( x ) d x = F ( b ) - F ( a )$ where $F$ is any antiderivative of $f$ , that is, $F ^ { t } = f$ .

Identify and explain the role of suggestive selling in the sales process.

Recognize the importance of consultative selling in creating customized solutions for customers.

Understand the role of feedback and objections in refining sales presentations and enhancing customer satisfaction.

Comprehend the significance of the presentation stage in converting prospects into customers.

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