This was a test problem:

I tried to stare it down until I figured out a solution. I thought about trig substitution, inverse trig, but in the end went with spliting the inside by

ran out of time and left it like that....

hints please?

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- October 1st 2010, 12:17 PMugkwanEvaluate this Integral
This was a test problem:

I tried to stare it down until I figured out a solution. I thought about trig substitution, inverse trig, but in the end went with spliting the inside by

ran out of time and left it like that....

hints please? - October 1st 2010, 01:44 PMSoroban
Hello, ugkwan!

This is a very messy problem . . . for a test question.

Quote:

. .

. .

.[1]

. .

Can you finish it?

~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~

I just noticed that [1] can be done "by parts" . . .

. .

- October 2nd 2010, 02:55 AMsimplependulum
We can use the substitution

The integral becomes :