Evaluate the integral. (Use C for the constant of integration.) √x² √/3+2x - x² dx 46²2-1 (2-4) (x−1)(4—(x−1)²)(³) __ _(x−1)³√/4—(x−1)²__2(4-(x−1)²)(³) ₁ (x-1). sin - 4 + 8 3

Calculus: Early Transcendentals
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Author:James Stewart
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Chapter1: Functions And Models
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Hello, I am not too sure where I am going wrong on this trig sub integral. Attached is the question and my answer is cut off, but it is fully visibile in my work on the bottom of the page.

Evaluate the integral. (Use C for the constant of integration.)
x2
sin
V 3 + 2x
X
x2 dx
407-04-4-12
:− 1) (4 – (x− 1)²) ( ³ )
(x−1)³√/4—(x−1)² _ __ 2(4− (x −1)²) (³)
8
3
+
(
(x-1)-
x
Transcribed Image Text:Evaluate the integral. (Use C for the constant of integration.) x2 sin V 3 + 2x X x2 dx 407-04-4-12 :− 1) (4 – (x− 1)²) ( ³ ) (x−1)³√/4—(x−1)² _ __ 2(4− (x −1)²) (³) 8 3 + ( (x-1)- x
=
24/4S x²-√3+26-x² dx - (2²-24-3) » ((X²2x+1) -1-3)
-(x-3) (x+¹) -((x-1)²-4)
4/2²/14--1²
U₁= X-1
X=utl
S (ONLY) ² 14-1² 1-2 smal
√4-4SINE
2√1-SIN²8
Was-Wust
du= Lees &de
S (RSING + 1)² 20060 (2016)de > Selsw²~ + 4sm²+1) (Yes²e)blo
پر
10
√4-08-1²
2
U=X-1
4=c030dn=-Sab
> Sple sm²³bres y + 10SING Les³6 + "les"Edb = [lbimi creas'E +16 | sinfecus be + 4Scas se ll
16 5 4 (1-ci5 26) ( 2 (1+cs26)) - 16 Su²c + 45 = (1 + (526) E
16 (2) S 1 - ₂ ( 1 + cos 46 ) - 16 Sui² du + 4 (3) S 1+ cos26d6
145 de = { [Sdb + & Scusuda] - 16 Su²cdn + 25 d6 + 1 Seesuche
4 [6 = { (6 + + sw46)] - 16[ 3 w²] + 2 [ @ + { sinize]
146-26 = 25w1l6-16 205/6 + + SIN 26
(펄
4 SIN" (2²) - { (4) (²) (²
SANG=
X=1
1056 = √4-17-1²
Z
√4-(x-1)²
B = S/~² ( (-¹)
16/√√4-(x-1) ²
2
SIN 46 = 25 №26 COSZE
2
3
4s (5)-2 (5) (-)-()) - ³16(4-(~1² (-1)-9
16(4-(x-1)})
USIN
8
2
+4₁ (1) - (x-1) (4- (x-1)²) ²2 (8-1)²14-(x-1)² - 2 (4-(x-1) ²2 (x-1)/√4-76) +C
传
1+ 14
24
88
3
4
SINIZE = 25=102026
1-605/65 +4326-c03²26
+ 2((5²) ( ¹4-12-0²
4 F-5+1/2
W
42 (25640ss) ((US²4-
4 (SINGLEssy-sures
1-ces²26 → 1-1 (1+ (0540)
Transcribed Image Text:= 24/4S x²-√3+26-x² dx - (2²-24-3) » ((X²2x+1) -1-3) -(x-3) (x+¹) -((x-1)²-4) 4/2²/14--1² U₁= X-1 X=utl S (ONLY) ² 14-1² 1-2 smal √4-4SINE 2√1-SIN²8 Was-Wust du= Lees &de S (RSING + 1)² 20060 (2016)de > Selsw²~ + 4sm²+1) (Yes²e)blo پر 10 √4-08-1² 2 U=X-1 4=c030dn=-Sab > Sple sm²³bres y + 10SING Les³6 + "les"Edb = [lbimi creas'E +16 | sinfecus be + 4Scas se ll 16 5 4 (1-ci5 26) ( 2 (1+cs26)) - 16 Su²c + 45 = (1 + (526) E 16 (2) S 1 - ₂ ( 1 + cos 46 ) - 16 Sui² du + 4 (3) S 1+ cos26d6 145 de = { [Sdb + & Scusuda] - 16 Su²cdn + 25 d6 + 1 Seesuche 4 [6 = { (6 + + sw46)] - 16[ 3 w²] + 2 [ @ + { sinize] 146-26 = 25w1l6-16 205/6 + + SIN 26 (펄 4 SIN" (2²) - { (4) (²) (² SANG= X=1 1056 = √4-17-1² Z √4-(x-1)² B = S/~² ( (-¹) 16/√√4-(x-1) ² 2 SIN 46 = 25 №26 COSZE 2 3 4s (5)-2 (5) (-)-()) - ³16(4-(~1² (-1)-9 16(4-(x-1)}) USIN 8 2 +4₁ (1) - (x-1) (4- (x-1)²) ²2 (8-1)²14-(x-1)² - 2 (4-(x-1) ²2 (x-1)/√4-76) +C 传 1+ 14 24 88 3 4 SINIZE = 25=102026 1-605/65 +4326-c03²26 + 2((5²) ( ¹4-12-0² 4 F-5+1/2 W 42 (25640ss) ((US²4- 4 (SINGLEssy-sures 1-ces²26 → 1-1 (1+ (0540)
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