- #1

- 19

- 1

Am I missing something?

if a = b then

Integral a = Integral b

a = dx/2x and b = dx/2x

a = (1/2) (dx/x) =

b = [dx/(2x)]

So far so good...

Integral of a .. let U = x, du = dx

Integral of a = (1/2) ln|x| + C

Integral of b... let U = 2x, du = 2 dx (multiple by (1/2) to balance out numerator only being 1)

(1/2) Integral (du/u)

Integral of b = (1/2) ln|2x| + C

But wait... (1/2) ln|x| =/= (1/2) ln|2x|

So did I mess something up or is integral (a) not always = to integral (b) given a = b.

if a = b then

Integral a = Integral b

a = dx/2x and b = dx/2x

a = (1/2) (dx/x) =

b = [dx/(2x)]

So far so good...

Integral of a .. let U = x, du = dx

Integral of a = (1/2) ln|x| + C

Integral of b... let U = 2x, du = 2 dx (multiple by (1/2) to balance out numerator only being 1)

(1/2) Integral (du/u)

Integral of b = (1/2) ln|2x| + C

But wait... (1/2) ln|x| =/= (1/2) ln|2x|

So did I mess something up or is integral (a) not always = to integral (b) given a = b.

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