Properties of integrals Suppose that ∫ 1 4 f ( x ) d x = 6 , and ∫ 1 4 g ( x ) d x = 4 , and ∫ 3 4 f ( x ) d x = 2 . Evaluate the following integrals or state that there is not enough information. 40. − ∫ 4 1 2 f ( x ) d x
Properties of integrals Suppose that ∫ 1 4 f ( x ) d x = 6 , and ∫ 1 4 g ( x ) d x = 4 , and ∫ 3 4 f ( x ) d x = 2 . Evaluate the following integrals or state that there is not enough information. 40. − ∫ 4 1 2 f ( x ) d x
Solution Summary: The author evaluates the value of integral -displaystyle underset4overset
Properties of integralsSuppose that
∫
1
4
f
(
x
)
d
x
=
6
, and
∫
1
4
g
(
x
)
d
x
=
4
, and
∫
3
4
f
(
x
)
d
x
=
2
. Evaluate the following integrals or state that there is not enough information.
40.
−
∫
4
1
2
f
(
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.
In the xy-plane, the graphs of the linear
function and the exponential function E
both pass through the points (0,2) and (1,6)
The function f is given by
f(x) = L(x) - E(x). What is the maximum
value of f?
A
0.007
B
0.172
C
0.540
D 1.002
n
3
5
ст
7
ап
85
95
105
The table gives values of an arithmetic
sequence an for selected values of n. Which
of the following linear functions is
αρ
constructed from the initial value an (with
n = 0) and common difference of the
sequence?
A
f(x) = 70+5x
B
f(x) = 70+10x
C
f(x) = 75+5x
D
f(x) = 75+10x
3. Submit answer Practice similar
Calculate the integral approximation Se for
So
dz.
L-de
4
1.
Submit answer
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Chapter 5 Solutions
MyLab Math with Pearson eText -- Standalone Access Card -- for Calculus: Early Transcendentals (3rd Edition)
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Numerical Integration Introduction l Trapezoidal Rule Simpson's 1/3 Rule l Simpson's 3/8 l GATE 2021; Author: GATE Lectures by Dishank;https://www.youtube.com/watch?v=zadUB3NwFtQ;License: Standard YouTube License, CC-BY