### Home > CALC > Chapter 4 > Lesson 4.4.3 > Problem 4-154

4-154.

Set up an integral and compute the area of the enclosed regions below. You may use your graphing calculator. Homework Help ✎

The area between

*y*= sin*x*and*y*= (*x*− 1)^{4}− 1.The area between

*y*=*x*(*x*− 3) and.

Find the bounds by computing the *x*-values of the points of intersection between the two functions.

sin*x* = (*x* −1)^{4} −1 *a* = 0, *b* = 2.163 (using a calculator)

Determine which is the upper function (the one with higher *y*-values) and which is the lower function (the one with lower *y*-values). If you are using a calculator: look at the graph. If not: Evaluate a point in between the bounds to see which function has the higher *y*-values.

Refer to hints in part (a).