Matched Problem 4 Using the same integral values given in Example 4, find (A) ∫ 3 2 6 x 2 d x (B) ∫ 0 2 ( 9 x 2 − 4 x ) d x (C) ∫ 2 0 3 x d x (D) ∫ − 2 − 2 3 x d x (E) ∫ 0 3 12 x 2 d x EXAMPLE 4 Using Properties of the Definite Integral If ∫ 0 2 x d x = 2 ∫ 0 2 x 2 d x = 8 3 ∫ 2 3 x 2 d x = 19 3
Matched Problem 4 Using the same integral values given in Example 4, find (A) ∫ 3 2 6 x 2 d x (B) ∫ 0 2 ( 9 x 2 − 4 x ) d x (C) ∫ 2 0 3 x d x (D) ∫ − 2 − 2 3 x d x (E) ∫ 0 3 12 x 2 d x EXAMPLE 4 Using Properties of the Definite Integral If ∫ 0 2 x d x = 2 ∫ 0 2 x 2 d x = 8 3 ∫ 2 3 x 2 d x = 19 3
Matched Problem 4 Using the same integral values given in Example 4, find
(A)
∫
3
2
6
x
2
d
x
(B)
∫
0
2
(
9
x
2
−
4
x
)
d
x
(C)
∫
2
0
3
x
d
x
(D)
∫
−
2
−
2
3
x
d
x
(E)
∫
0
3
12
x
2
d
x
EXAMPLE 4 Using Properties of the Definite Integral If
∫
0
2
x
d
x
=
2
∫
0
2
x
2
d
x
=
8
3
∫
2
3
x
2
d
x
=
19
3
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