MAT136H1 Lecture : 5.1 Integration & Anti-derivatives Area Estimate Under a Function Question #4 (Medium)

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

Document Summary

Question #4 (medium): limit for the area estimate under a function. Usually, when a graph or a dataset is given, number of rectangles ( ) for the area estimation is fixed. But instead, when a function is given and asks to estimate the area under the curve, assume that and use the limit expression: First, establish the input variables needed for the limit expression: , where : as , the width of the rectangle is over the interval, , where is the beginning of the interval. Then substitute into the limit expression that fits the given function. Write the limit expression for estimating the area under the graph of . Substituting into the given function, can now be written as.