Integrating with respect to y
When is written as a function of , greater values of the function are indicated by points farther away from the -axis.
When is written as a function of (as illustrated in this interactive figure), greater function values are indicated by points that are a greater distance from the -axis. In this figure, functions and are functions of ; function is greater than function since is graphed further to the right.
The green point can be moved anywhere along the y-axis from to .
Use the slider to see a geometric visualization of the construction of a definite integral evaluated with respect to .
Developed for use with Thomas' Calculus, published by Pearson.