### Home > CALC > Chapter 4 > Lesson 4.2.3 > Problem 4-77

4-77.

If

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Notice that the bounds have flipped and the integrand is now negative.

Split this problem into a sum of two integrals:

Integral 1: Notice that the bounds shifted 8 units to the right... but so did the integrand: *f*(*x* − 8).

Integral 2: This integral represents a rectangular area with base: 12 − 10 = 2 and height: 4.

Add.

The bounds shifted 8 units to the right, but the integrand shifted 8 units to the left.

We do not have enough information to evaluate this integral.