1. dx (x²+4)²

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 number 1 and see example 2 for reference.

1.
dx
(x²+4)²
Transcribed Image Text:1. dx (x²+4)²
2.) √ √9-4x² dx
x²
Solution: Case I
let u = asino
2x = 3 sine
x = 3 sino
2
dx = ² coso do
2
so, by substitution
a²=9
a = 3
u² = 4x²
u = 2x
Transcribed Image Text:2.) √ √9-4x² dx x² Solution: Case I let u = asino 2x = 3 sine x = 3 sino 2 dx = ² coso do 2 so, by substitution a²=9 a = 3 u² = 4x² u = 2x
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