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Home > CALC > Chapter 4 > Lesson 4.3.2 > Problem 4-115
4-115.
Let
Notice that the bounds are reverse. What does that 'do' to the way we evaluate area?
Two shifts happen to the integrand: It is shifted two units up. It is shifted two units right. The bounds also changed.
Shifting up
In other words, it's like adding a rectangle with height
Shifting an integral to the right could make it impossible to evaluate.
Fortunately, in this case, the bounds also shifted