Finding the Area of a Region In Exercises 31-36, (a) use a graphing utility to graph the region hounded by the graphs of the functions. (b) find the area of the region analytically, and (c) use the integration capabilities of the graphing utility to verify your results. f ( x ) = 1 1 + x 2 , g ( x ) = 1 2 x 2
Finding the Area of a Region In Exercises 31-36, (a) use a graphing utility to graph the region hounded by the graphs of the functions. (b) find the area of the region analytically, and (c) use the integration capabilities of the graphing utility to verify your results. f ( x ) = 1 1 + x 2 , g ( x ) = 1 2 x 2
Finding the Area of a Region In Exercises 31-36, (a) use a graphing utility to graph the region hounded by the graphs of the functions. (b) find the area of the region analytically, and (c) use the integration capabilities of the graphing utility to verify your results.
f
(
x
)
=
1
1
+
x
2
,
g
(
x
)
=
1
2
x
2
With differentiation, one of the major concepts of calculus. Integration involves the calculation of an integral, which is useful to find many quantities such as areas, volumes, and displacement.
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Area Between The Curve Problem No 1 - Applications Of Definite Integration - Diploma Maths II; Author: Ekeeda;https://www.youtube.com/watch?v=q3ZU0GnGaxA;License: Standard YouTube License, CC-BY