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Math 2565, Spring 2020

Area and Volume

January 28, 2020

Sean Fitzpatrick
University of Lethbridge

Warm-Up

Decide if the following improper integrals converge:

\(\di \int_1^\infty \frac{1}{\sqrt{x^3+5x}}\,dx\)
\(\di \int_1^\infty \frac{1}{\sqrt{x^2+5x}}\,dx\)

Quiz

The graphs of two functions \(f\) and \(g\) are shown below, intersecting at points \((a,b)\) and \((c,d)\text{.}\) Write down an integral that computes the shaded area between the two graphs.