I've tried to substitute x in but seem to get the integration wrong.

1. let

2. let

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- Jul 23rd 2006, 09:00 AMc_323_hTrig substitution
I've tried to substitute x in but seem to get the integration wrong.

1. let

2. let - Jul 23rd 2006, 10:36 AMgalactus
Your choice of substitution is good. Don't forget dx. That can be overlooked

For instance, #2.

- Jul 23rd 2006, 12:10 PMSoroban
Hello, c_323_h!

Don't be discouraged . . . the first one takes*forever*

. . and there are a dozen places to make errors (I've made them all).

Quote:

Let:

. . and

Substitute: .

We have: .

Let:

Substitute: .

Back-substitute

. . Since , we have: .

Back-substitute: Since , then

We have: .

. .

I need a nap . . .

- Jul 23rd 2006, 02:42 PMThePerfectHackerQuote:

Originally Posted by**c_323_h**

Ignore this, if you do not understand I do not want to confuse you.

------

Let,

Then,

--->Denominator.

Express integrand as,

Also, we have,

Thus,

Thus,

Thus,

Thus, you finally have,

Substitute back,

Simplify the inverse trigonometric with trigonometric, to get,

Thus,