I'm having trouble figuring out the substitution for .

I tried and , but those don't seem to lead me anywhere.

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- Oct 4th 2008, 01:33 PMdiablo2121Help with indefinite integral substitution
I'm having trouble figuring out the substitution for .

I tried and , but those don't seem to lead me anywhere. - Oct 4th 2008, 01:41 PMicemanfan
I assume you mean this:

Use the old single term in the denominator trick.

is a lot easier to work with. - Oct 4th 2008, 02:41 PMdiablo2121
What about ?

- Oct 4th 2008, 08:24 PMFire Mage
This fits a pattern. Look at it as:

That fits the pattern for arctan, so:

u = x^2

du = 2xdx

a = 1

You have to accomodate for the 2 in 2xdx, so:

therefore, the basic integral is:

So from there on it is plugging in numbers! You have to learn these patterns so read up!