Find the constants a and b that maximizethe value of\int_{a}^{b}\left(1-x^{2}\right) d x  Explain your reasoning.

Calculus For The Life Sciences
2nd Edition
ISBN:9780321964038
Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Chapter7: Integration
Section7.1: Antiderivatives
Problem 3E
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Find the constants a and b that maximize
the value of\int_{a}^{b}\left(1-x^{2}\right) d x 

Explain your reasoning.

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ISBN:
9780321964038
Author:
GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:
Pearson Addison Wesley,