Tutorial Exercise If fis integrable on [a, b], the following equation is correct. [" f(x) dr = limf (r.) Ar, where Ar- -x Use the given form of the definition evaluate the integral. Lo (1+5r) dr Part 1 of 6 Part 2 of 6 If x= -2, then each x₁ = -2 + 4x = -2+6✔ Since the interval is [-2, 4] and we have n sub-intervals, then Ax= Part 3 of 6 ·La. Using (1 + 5x) dx= lim /-1 b-a n n Submit Skip.(you cannot come back) 61 andz, =a+iAz. (1+5x) Ax, we have lim ✓ 6 m Σ (1 + 5(- ² + 5-)) ² − lim - - lim 2 (12
Tutorial Exercise If fis integrable on [a, b], the following equation is correct. [" f(x) dr = limf (r.) Ar, where Ar- -x Use the given form of the definition evaluate the integral. Lo (1+5r) dr Part 1 of 6 Part 2 of 6 If x= -2, then each x₁ = -2 + 4x = -2+6✔ Since the interval is [-2, 4] and we have n sub-intervals, then Ax= Part 3 of 6 ·La. Using (1 + 5x) dx= lim /-1 b-a n n Submit Skip.(you cannot come back) 61 andz, =a+iAz. (1+5x) Ax, we have lim ✓ 6 m Σ (1 + 5(- ² + 5-)) ² − lim - - lim 2 (12
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
Section7.2: Substitution
Problem 22E
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![Tutorial Exercise
If f is integrable on [a, b], the following equation is correct.
72
[²ƒ (x) dx = = limf (x₂) Ar, where Ar =
Δ.,
72-00
i=1
Use the given form of the definition to evaluate the integral.
La
Part 1 of 6
Part 2 of 6
(1 + 5x) dx
If Xo = -2, then each x; = −2+iAx = -2 +
Part 3 of 6
Since the interval is [-2, 4] and we have n sub-intervals, then Ax= 6 ✔
Using
b- a
n
Submit Skip_(you cannot come back)
n
and x = a +iAx.
6i
n
n
[₂₁² +
(1 + 5x) dx = lim Σ (1 + 5xi) Δx, we have lim Σ (1
i=1
i = 1
n
6
(1 + 5(-2 + $i)) — = lim -
· = lim £Σ (Ε
n
i = 1
X
6i
n
X](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fea573ee5-9c85-4154-bb8a-94d0727be48a%2F56f7dc7f-1668-4e3c-822b-eb10b8aa4ac8%2Fbhvhnkr_processed.png&w=3840&q=75)
Transcribed Image Text:Tutorial Exercise
If f is integrable on [a, b], the following equation is correct.
72
[²ƒ (x) dx = = limf (x₂) Ar, where Ar =
Δ.,
72-00
i=1
Use the given form of the definition to evaluate the integral.
La
Part 1 of 6
Part 2 of 6
(1 + 5x) dx
If Xo = -2, then each x; = −2+iAx = -2 +
Part 3 of 6
Since the interval is [-2, 4] and we have n sub-intervals, then Ax= 6 ✔
Using
b- a
n
Submit Skip_(you cannot come back)
n
and x = a +iAx.
6i
n
n
[₂₁² +
(1 + 5x) dx = lim Σ (1 + 5xi) Δx, we have lim Σ (1
i=1
i = 1
n
6
(1 + 5(-2 + $i)) — = lim -
· = lim £Σ (Ε
n
i = 1
X
6i
n
X
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