For each of the following integrals find an appropriate trigonometric substitution of the form x = f(t) to simplify the integral. ·S a. b. d. (4x² – 8) ³/² dx X = J X = C. 0. fx. x√8x² +80x + 192 dx X = I 2² 3x² + 7 dx X -4 - 3x² - 12x dx

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter7: Analytic Trigonometry
Section7.4: Multiple-angle Formulas
Problem 68E
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For each of the following integrals find an
appropriate trigonometric substitution of the
form x
f(t) to simplify the integral.
a.
b.
C.
=
d.
[(4x² - 8)³/²2 da
X =
S
X =
../x0.
Sav
X =
x²
3x² + 7
x√8x² + 80x + 192 dx
,
X =
dx
X
-4 – 3x² – 12x
dx
Transcribed Image Text:For each of the following integrals find an appropriate trigonometric substitution of the form x f(t) to simplify the integral. a. b. C. = d. [(4x² - 8)³/²2 da X = S X = ../x0. Sav X = x² 3x² + 7 x√8x² + 80x + 192 dx , X = dx X -4 – 3x² – 12x dx
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