Question
Asked Oct 19, 2019
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Solve # 40 by completing the square and using trigonometric substitution. 

Vu2
+2
(
complete the square to write
)
he integral by completing the square and
dx
2+x-x
40.
Vx2- 4x+7 dx
42.
dx
44.
x2+6x +6)2
using Integration by Parts as a first step
sin-x
x2
1 46.
dx
48.
+2
In(x2 1)dx
for
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Vu2 +2 ( complete the square to write ) he integral by completing the square and dx 2+x-x 40. Vx2- 4x+7 dx 42. dx 44. x2+6x +6)2 using Integration by Parts as a first step sin-x x2 1 46. dx 48. +2 In(x2 1)dx for

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Expert Answer

Step 1

Given an integral,

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dx V2+ x- x2 To find the integral by completing the square

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Step 2

Begin with finding the third term.

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Now, the third term of the quadratic equation in the denominator is T) 2 2 * Coefficient of x terms =i * 4

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Step 3

Now, adding and subtracting the third t...

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dx dx V2 x-x2 1 -x2 x + 2 1 dx 1 -x2 x -7+2 dx -S -(x2 - x+ 8 1 + 4 -/ (x-) dx X

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Tagged in
MathCalculus

Integration