The problem is the integral of x/(4-x^2), and I'm asked to solve it using a trig substitution despite there being no square root present in the problem, how can I go about doing this?

- Apr 5th 2009, 09:57 AMfattydq[SOLVED] Solving This Indefinite Integral With A Trig Substitution
The problem is the integral of x/(4-x^2), and I'm asked to solve it using a trig substitution despite there being no square root present in the problem, how can I go about doing this?

- Apr 5th 2009, 10:28 AMSoroban
Hello, fattydq!

Quote:

. . . . using a trig substitution.

Let

. . and: .

Substitute: . .[1]

Bacl-substitute: .

We have: .

. . Hence: .

Then [1] becomes: .

. . . . . .

. . . . . .

- Apr 5th 2009, 11:03 AMJhevon
- Apr 5th 2009, 11:14 AMfattydq