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integral of 2x/(2+x)

Question

integral of 2x/(2+x)

check_circleAnswer
Step 1

Let the given expression be denoted by integral I ;

2x
I
2+ x
Since 2 is a constant it can be taken out of the integral,
1-22
x
-dx
2+x
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2x I 2+ x Since 2 is a constant it can be taken out of the integral, 1-22 x -dx 2+x

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Step 2

Substitute the expression in  the denominator and change the variables.

Substitute 2 x =t
Taking derivative on both sides,
dx dt 0
dx dt
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Substitute 2 x =t Taking derivative on both sides, dx dt 0 dx dt

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Step 3

Rewrite the expression wi...

1-2
1-a1
1-3[1-20
1-21d-22d
- 2
-dt
t
2
dt
t
2f
t
I 2
1--dt
t
t
I 2t 4 ntc
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1-2 1-a1 1-3[1-20 1-21d-22d - 2 -dt t 2 dt t 2f t I 2 1--dt t t I 2t 4 ntc

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Tagged in

Math

Calculus

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