- #1
tracedinair
- 50
- 0
Homework Statement
Given that Φ2 = Φ1 * ∫ e^(-∫a(x)dx)) / (Φ1)^2 dx
and Φ1 = cos(ln(x)), a = 1/x, solve for Φ2.
Homework Equations
The Attempt at a Solution
Φ2 = cos(ln(x)) * ∫ e^(-∫1/x dx)) / cos^(2)(ln(x)) dx
= cos(ln(x)) * ∫ e^(-ln(x)) / cos^(2)(ln(x)) dx
= cos(ln(x)) * - ∫ x / cos^(2)(ln(x)) dx
My problem begins here with trying to solve for that integral. I don't have the slightest idea where to begin, except maybe integration by parts.