Given that and .

Integrate with respect to x

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- Aug 21st 2010, 02:58 AMPunchComparing dy/dx with another dy/dx to find Y
Given that and .

Integrate with respect to x - Aug 21st 2010, 03:07 AMHallsofIvy

You are "given" how to integrate the first and the second can be integrated by letting u= x+ 2. - Aug 21st 2010, 07:52 AMJester
- Aug 28th 2010, 07:16 AMPunch

you are absolutely right but i still dont get how i can compare with - Aug 28th 2010, 09:35 AMJester
First off, as HallsofIvy point out, the substitution u = x+2 or x = u - 2 will give you two integrals that you can easily integrate (and the way I personally would have done this problem). In what follows, the constants of integration will be supressed. First, using the fact that

then

noting that what you want is the first integral. Also so your integral can be written as

so

Now use integration by parts on the first integral in (2)

gives

or

or

Now multiply gives

from which it follows that

.

Kinda long and again, not the way I would have done this problem.