Question Number 128361 by DomaPeti last updated on 06/Jan/21
$${f}\left({x}\right)= \\ $$$$\frac{{R}}{\:\sqrt{\mathrm{1}−{M}^{\mathrm{2}} {sin}^{\mathrm{2}} \left({atan}\left({N}\centerdot{sin}\left({x}+{c}\right)\right)\right)}} \\ $$$${g}\left({x}\right)={acos}\left({A}\centerdot{sin}\left({atan}\left({N}\centerdot{sin}\left({x}+{c}\right)\right)\right)+\right. \\ $$$$\left.{B}\centerdot{cos}\left({atan}\left({N}\centerdot{sin}\left({x}+{c}\right)\right)\right)\centerdot{cos}\left({D}−{x}\right)\right) \\ $$$$\int\left({f}\left({x}\right)\centerdot{g}\left({x}\right)'\right)={L}\left({x}\right) \\ $$$${L}\left({x}\right)=? \\ $$$$ \\ $$