### Home > CALC > Chapter 3 > Lesson 3.2.1 > Problem 3-43

3-43.

Write and evaluate a Riemann sum to determine the area *A*(*f*, −1 ≤ *x* ≤ 1) for *f*(*x*) below. Choose the number of rectangles so that your answer will be a good approximation of the area. What is interesting about the sign of your result? Use a description or sketch of the function to support your answer. Homework Help ✎

*f*(*x*) = *x*^{4} *− x*^{2}

Your answer should be relatively close to ≈ −0.26667. The answer is negative because the function is below the *x*-axis on this interval.