Calculus I Problem

Please write down the explanation as details as possible. Thanks in advance!

Concept Questions 1. What is the definition of the definite integral of a continuous function from a to b? 2. What is the geometric interpretation of / faj drif /() 20? 3. What is the geometric interpretation of / /(x) dr if f(x) takes on both positive and negative values? Illustrate with a diagram. Problem with Explanation Solve the following problem. Include an explanation so that a peer in the class can understand the work. Your explanation should have an emphasis on explaining calculus concepts over algebraic concepts. Problem Prompt: Let / 3/(x) dx - 12. / {(x)de -6, and / 9(x)dx = 2. Find the values of the following: 1. '(x ) de 2. 5 dr