Mathematics - Definite Integration Question with Solution | TestHub

Under $x\mapsto 1/x$, average the integral with its transformed form. The combined integrand is the derivative of $e^{x-1/x}$ over [1, 2] and its reciprocal part, yielding $e^{3/2}-1$. Thus ${\lambda }_1=1,{\lambda }_2=3$, and the sum is 4.