The graph of g consists of two straight fines and a semicircle. Use it to evaluate each integral. (a) ∫ 0 2 g ( x ) d x (b) ∫ 2 6 g ( x ) d x (c) ∫ 0 7 g ( x ) d x
The graph of g consists of two straight fines and a semicircle. Use it to evaluate each integral. (a) ∫ 0 2 g ( x ) d x (b) ∫ 2 6 g ( x ) d x (c) ∫ 0 7 g ( x ) d x
Solution Summary: The author explains how a definite integral can be interpreted in terms of area. The formula for the area under the curve is A_1.
The graph of g consists of two straight fines and a semicircle. Use it to evaluate each integral.
(a)
∫
0
2
g
(
x
)
d
x
(b)
∫
2
6
g
(
x
)
d
x
(c)
∫
0
7
g
(
x
)
d
x
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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Definite Integral Calculus Examples, Integration - Basic Introduction, Practice Problems; Author: The Organic Chemistry Tutor;https://www.youtube.com/watch?v=rCWOdfQ3cwQ;License: Standard YouTube License, CC-BY