### Home > CALC > Chapter 8 > Lesson 8.1.1 > Problem 8-5

8-5.

Sketch the region bounded by the curve

*f*(*x*) =and the *x*-axis for 4 ≤*x*≤ 9. Homework Help ✎Draw a typical rectangle in the sketch and describe how the height and width are determined.

Set up and evaluate an integral to find the area of the region.

Δ*x* is the width, and *f*(*x*+Δ*xi*) is the height

as Δ*x*→0, *f*(*a*+Δ*xi*)→__________