Using the appropriate substitutions sin sin 20 = 2 sin 0 cos , evaluate the integral. 16 cose Ꮎ ᏧᎾ |v 16 - 6x² dx = = = = || /6 8 Volo 8 0 + = x√6 4 2 and cos 0 = = sin 20 + C (0+ sin cos 8) + C 8 ✓6 (sin-¹(x√6). 4 X + + C √16 - 6x² 4 I and the identity |(√16-6x²)) 4

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter7: Analytic Trigonometry
Section7.2: Trigonometric Equations
Problem 94E
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Using the appropriate substitutions sin
sin 20 = 2 sin 0 cos , evaluate the integral.
16
Ive
cose Ꮎ ᏧᎾ
16 - 6x² dx
=
=
=
=
||
/6
8
Volo
8
0 +
=
x√6
4
2
and cos 0 =
=
sin 20 + C
(0+ sin cos 8) + C
8
✓ 6 (Sin-¹(x√6).
4
X
+
+ C
√16 - 6x²
4
I
and the identity
|(√16-6x²))
4
Transcribed Image Text:Using the appropriate substitutions sin sin 20 = 2 sin 0 cos , evaluate the integral. 16 Ive cose Ꮎ ᏧᎾ 16 - 6x² dx = = = = || /6 8 Volo 8 0 + = x√6 4 2 and cos 0 = = sin 20 + C (0+ sin cos 8) + C 8 ✓ 6 (Sin-¹(x√6). 4 X + + C √16 - 6x² 4 I and the identity |(√16-6x²)) 4
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