Integral Function Value Alpha (Jee Mains)

Definite Integrals and Reduction

Hard

Integral Function Value Alpha

Let $f(t) = \int {\left( {\frac{{1 - \sin ({{\log }_e}t)}}{{1 - \cos \left( {{{\log }_e}t} \right)}}} \right)} dt,t > 1$ .
If f(e^π^/2) = –e^π^/2 and f(e^π/4) = α e^π^/4, then α equals

SELECT ONE OPTION

Ask about this question