### Home > CALC > Chapter 8 > Lesson 8.3.2 > Problem 8-112

8-112.

The base of a solid with square cross-sections perpendicular to the *x*-axis is bounded by the curves *y* = −*x*^{2 }+^{ }4 and *y* = *x*^{2} − 4. Set up an integral to calculate the volume. Do not solve. Homework Help ✎

Area of a square = (side)²

Imagine a square that is built on the line connecting the top and bottom function. Write an expression for the length of the side of the square. Use symmetry to simplify the expression.

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