Why is integration needed to compute the work performed in stretching a spring?

Trigonometry (MindTap Course List)
10th Edition
ISBN:9781337278461
Author:Ron Larson
Publisher:Ron Larson
Chapter3: Additional Topics In Trigonometry
Section3.3: Vectors In The Plane
Problem 11ECP
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Why is integration needed to compute the work performed in stretching a spring?

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