which the following definite integrals gives the volume of the solid obtained by revolving the shaded region about the line x = 1? Oxf² (e²e y = et O - 2T S. On (ºa x=1 7 S (e* - √x + 1)² de y =√x+1 (x + 1))dx (1-x)(e /x + 1)dx

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter5: Inverse, Exponential, And Logarithmic Functions
Section5.3: The Natural Exponential Function
Problem 44E
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Please answer the question on the photo. 

0
π
y
S²
π S₁ (e² = √² + 1)² da
(e²x
x=1
y=√x+1
2п
27 [²
T
2п
S (1-x) (e. /x + 1)dx
< Previous
- (x + 1))dx
2T
[a (1 − x)(eª − √√x + 1)dx
√x + 1)dx
Next
Transcribed Image Text:0 π y S² π S₁ (e² = √² + 1)² da (e²x x=1 y=√x+1 2п 27 [² T 2п S (1-x) (e. /x + 1)dx < Previous - (x + 1))dx 2T [a (1 − x)(eª − √√x + 1)dx √x + 1)dx Next
Using vertical rectangular elements, which of the following definite integrals gives the volume of
the solid obtained by revolving the shaded region about the line x = 1 ?
3
0
=1₁"
ſ
π
2π
y=
(e²x
2π
e
x = 1
y=√x+1
#f² (²²
π (e² - √x + 1)² dx
(x + 1)) dx
[² (1 − x)(e² - √√² + 1)da
[*(1-x)(e*
x + 1)da
Transcribed Image Text:Using vertical rectangular elements, which of the following definite integrals gives the volume of the solid obtained by revolving the shaded region about the line x = 1 ? 3 0 =1₁" ſ π 2π y= (e²x 2π e x = 1 y=√x+1 #f² (²² π (e² - √x + 1)² dx (x + 1)) dx [² (1 − x)(e² - √√² + 1)da [*(1-x)(e* x + 1)da
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