Let f (x) = .5 x, make a = 0 and make b = 1. If b increases at a steady rate, the integral does not increase at a steady rate. Descibe what happens, and explain why it happens. Confirm that if b decreases and b is positive, then the integral decreases. Does this continue to be true even if b is negative? Descibe what happens, and explain why it happens.

College Algebra
7th Edition
ISBN:9781305115545
Author:James Stewart, Lothar Redlin, Saleem Watson
Publisher:James Stewart, Lothar Redlin, Saleem Watson
Chapter3: Polynomial And Rational Functions
Section3.1: Quadratic Functions And Models
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Let (x) = .5 x, make a = 0 and make b = 1.

  1. If b increases at a steady rate, the integral does not increase at a steady rate. Descibe what happens, and explain why it happens.
  2. Confirm that if b decreases and b is positive, then the integral decreases. Does this continue to be true even if b is negative? Descibe what happens, and explain why it happens.
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