d) Evaluate the definite integral, correct to 3 significant figures: ₁-5 lm (42) dz

Calculus For The Life Sciences
2nd Edition
ISBN:9780321964038
Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Chapter7: Integration
Section7.3: Area And The Definite Integral
Problem 1E: Explain the difference between an indefinite integral and a definite integral.
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Provide me with the answer for the last tow parts and and alos what i have got wrong 

d
D
3
d
d
0
B
d
The following integral may be evaluated by using integration by parts.
Notes:
a)
powers can be entered using ^
A
to divide, use /
du
The product-5 In(4x) must be written in the form u du
Determine u,,and u:
b)
Apply the integration by parts formula:
u=
v=
fudz =
fudz =
1n (4x)
-5x
-5 lm (42) dr.
<<
Uv
4=
1/x
4 = -5
- S
20x1n * -S
dz
dr
Transcribed Image Text:d D 3 d d 0 B d The following integral may be evaluated by using integration by parts. Notes: a) powers can be entered using ^ A to divide, use / du The product-5 In(4x) must be written in the form u du Determine u,,and u: b) Apply the integration by parts formula: u= v= fudz = fudz = 1n (4x) -5x -5 lm (42) dr. << Uv 4= 1/x 4 = -5 - S 20x1n * -S dz dr
c)
d)
Hence write down the indefinite integral:
1-
(Don't forget the constant of integration as this is an indefinite integral.)
Evaluate the definite integral, correct to 3 significant figures:
-5 ln(4x) dr
²-5 ln(4x) dr
Transcribed Image Text:c) d) Hence write down the indefinite integral: 1- (Don't forget the constant of integration as this is an indefinite integral.) Evaluate the definite integral, correct to 3 significant figures: -5 ln(4x) dr ²-5 ln(4x) dr
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