EXAMPLE 3 Find S X √√2-2x2 dx. SOLUTION Let u = 2 - 2x². Then du = Χ dx = 2- 2x² = 信 du dx, so x dx = du and u-1/2 du (2√u) + C + C (in terms of x). Evaluate the indefinite integral. (Use C for the constant of integration.) tan-15x dx 1+25x2 ×

College Algebra
10th Edition
ISBN:9781337282291
Author:Ron Larson
Publisher:Ron Larson
Chapter3: Polynomial Functions
Section3.4: Zeros Of Polynomial Functions
Problem 5ECP: Find all real solutions of 2x35x2+15x+18=0.
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EXAMPLE 3
Find
S
X
√√2-2x2
dx.
SOLUTION Let u = 2 - 2x². Then du =
Χ
dx =
2- 2x²
=
信
du
dx, so x dx =
du and
u-1/2 du
(2√u) + C
+ C (in terms of x).
Transcribed Image Text:EXAMPLE 3 Find S X √√2-2x2 dx. SOLUTION Let u = 2 - 2x². Then du = Χ dx = 2- 2x² = 信 du dx, so x dx = du and u-1/2 du (2√u) + C + C (in terms of x).
Evaluate the indefinite integral. (Use C for the constant of integration.)
tan-15x
dx
1+25x2
×
Transcribed Image Text:Evaluate the indefinite integral. (Use C for the constant of integration.) tan-15x dx 1+25x2 ×
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