I have been doing this question and I am lost as there is still something else that need to do to get the final answer,can you help me. Evaluate the integral :S3x²+14x+3(x-1)(x+1)²'dx =+C Problem 9) Evaluate the Integral:3 x ² + 14x + 3√x = A +2(X-1) (X+1) ²A (X-1)(X+1) ²+0²-11сB+C(X-1) (x+1) (x+1)²LCD= (x-1) (X+) ²2(x-1) (x + 1)² + C (x-1)(x+1) ²(x+1)= 1B(x++)-10Ө2·A (x + 1)² + B (x-1) (x + 1) + C (x-1):X = 1; 4A = 3 + 14+3 = 4A = 20 = A=5X=-1; -2C₂-8 = C=4Y₂0 5+15 +1 + B (-1) (1) + 4 (-1) = 3 ! dus²²² +C5-B - 4 1 1 2 3 -1 > B = -2dvad-2+1S²₁ ²504 + 45 x 4 1/² dx2(x-1)((x+1)U₂8+1du z dx5/n/x-1/-2)x+1/= 4/n/x+1/+c↓?U + C#-10t+C

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Answered: Evaluate the integral: dx = S 3x²+14x+3…

Math

Calculus

Evaluate the integral: dx = S 3x²+14x+3 (x−1)(x+1)² +C

Calculus: Early Transcendentals

8th Edition

ISBN:9781285741550

Author:James Stewart

Publisher:James Stewart

Chapter1: Functions And Models

Section: Chapter Questions

Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...

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Question

I have been doing this question and I am lost as there is still something else that need to do to get the final answer,

can you help me.

Evaluate the integral :
S
3x²+14x+3
(x-1)(x+1)²'
dx =
+C

Problem 9) Evaluate the Integral:
3 x ² + 14x + 3√x = A +
2
(X-1) (X+1) ²
A (X-1)(X+1) ²
+
0²-11
с
B
+C
(X-1) (x+1) (x+1)²
LCD= (x-1) (X+) ²
2
(x-1) (x + 1)² + C (x-1)(x+1) ²
(x+1)= 1
B
(x++)
-10
Ө
2
·A (x + 1)² + B (x-1) (x + 1) + C (x-1):
X = 1; 4A = 3 + 14+3 = 4A = 20 = A=5
X=-1; -2C₂-8 = C=4
Y₂0 5+1
5 +1 + B (-1) (1) + 4 (-1) = 3 ! dus²²² +C
5-B - 4 1 1 2 3 -1 > B = -2
dvad
-2+1
S²₁ ²504 + 45 x 4 1/² dx
2
(x-1)
((x+1)
U₂8+1
du z dx
5/n/x-1/-2)x+1/= 4/n/x+1/+c
↓
?
U + C
#
-10t+C

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