MAT136H1 Lecture Notes - Integral Symbol

• School: UTSG
• Department: Mathematics
• Course: MAT136H1
• Professor: all

Document Summary

Question #4 (medium): interpreting the area bound by two functions. From the integral expression, two functions need to be identified. Graph each function to see which one lies at the top and bottom. Equate the functions equal to each other to determine the points of intersection. Usually the interval from the integral matches the points of intersection. Look for or to see if the functions were integrated over or . Interpret the integral as the area of a bound region. Graphing the component inside the integral is as follows: Setting the functions equal to each other: ( ) ; moving everything over to one side: This matches the interval [ ] from the integral sign. Thus, the integral expression represents the area bound by two functions: Then, [ ] used for the first half.