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Home > CALC > Chapter 4 > Lesson 4.3.2 > Problem 4-115

4-115.

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 2 units is like adding the integral:

In other words, it's like adding a rectangle with height 2 and base (7 − 5).

Shifting an integral to the right could make it impossible to evaluate.
Fortunately, in this case, the bounds also shifted 2 units to the right.