Take log(cosx) as first function and 1 as second function….
Use integration by parts formula that is ∫f(x).g(x) = f(x).g'(x) – ∫f'(x).[∫g(x)dx]dx…
The 1st and 2nd function are taken considering the ILATE rule.
- I = inverse trigonometric function
- L = logarithmic function
- A = algebraic function
- T = trigonometric function
- E = exponential function.
The answer is: \(frac{1}{4} (2 C-pi log (2))\).
