Evaluate the integral: ³√1 + 100x² da

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter5: Inverse, Exponential, And Logarithmic Functions
Section: Chapter Questions
Problem 40RE
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I'm working on an online study guide and I'm unsure of how to approach the second two parts

√x²³ √/1 + 100m² da
(A) Which trig substitution is correct for this integral?
1
10
Evaluate the integral:
x =
X =
X =
-sec(0)
1
10
1
100
x = 100 sin(0)
x =
-tan(0)
-sec(0)
x = 10 cos(0)
1
100
-tan(0)
(B) Which integral do you obtain after substituting for x and simplifying?
Note: to enter 0, type the word theta.
tan³ (0) sec³ (0)
10000
(C) What is the value of the above integral in terms of ?
(D) What is the value of the original integral in terms of x?
1
10000
-tan(0)³ sec (0)³ de
+ C
+ C
Transcribed Image Text:√x²³ √/1 + 100m² da (A) Which trig substitution is correct for this integral? 1 10 Evaluate the integral: x = X = X = -sec(0) 1 10 1 100 x = 100 sin(0) x = -tan(0) -sec(0) x = 10 cos(0) 1 100 -tan(0) (B) Which integral do you obtain after substituting for x and simplifying? Note: to enter 0, type the word theta. tan³ (0) sec³ (0) 10000 (C) What is the value of the above integral in terms of ? (D) What is the value of the original integral in terms of x? 1 10000 -tan(0)³ sec (0)³ de + C + C
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