Question Number 124903 by Algoritm last updated on 06/Dec/20
Answered by MJS_new last updated on 06/Dec/20
$$\mathrm{just}\:\mathrm{decompose}\:\mathrm{and}\:\mathrm{solve},\:\mathrm{no}\:\mathrm{special} \\ $$$$\mathrm{knowledge}\:\mathrm{necessary}.\:\mathrm{the}\:\mathrm{answer}\:\mathrm{is}: \\ $$$$\frac{{x}−\mathrm{1}}{\mathrm{2}\left({x}^{\mathrm{2}} +\mathrm{1}\right)}+\frac{\mathrm{1}}{\mathrm{4}}\mathrm{ln}\:\left({x}^{\mathrm{2}} +\mathrm{1}\right)\:−\frac{\mathrm{1}}{\mathrm{2}}\mathrm{ln}\:\mid{x}+\mathrm{1}\mid\:+{C} \\ $$$$\mathrm{now}\:\mathrm{try}\:\mathrm{to}\:\mathrm{reach}\:\mathrm{this}\:\mathrm{for}\:\mathrm{yourself} \\ $$
Commented by $@y@m last updated on 07/Dec/20
I liked your approach. I think all of us should give hint instead of spoon feeding by solving problems step wise.
Commented by MJS_new last updated on 07/Dec/20
$$\mathrm{some}\:\mathrm{people}\:\mathrm{here}\:\mathrm{tend}\:\mathrm{to}\:\mathrm{let}\:\mathrm{us}\:\mathrm{do}\:\mathrm{their} \\ $$$$\mathrm{homework}.\:\mathrm{others}\:\mathrm{seem}\:\mathrm{to}\:\mathrm{never}\:\mathrm{learn} \\ $$$$\mathrm{anything},\:\mathrm{posting}\:\mathrm{similar}\:\mathrm{questions}\:\mathrm{again} \\ $$$$\mathrm{and}\:\mathrm{again}...\:\mathrm{and}\:\mathrm{yet}\:\mathrm{others}\:\mathrm{search}\:\mathrm{the}\:\mathrm{web} \\ $$$$\mathrm{for}\:\mathrm{hard}\:\mathrm{looking}\:\mathrm{problems},\:\mathrm{particularly}\:\mathrm{with} \\ $$$$\mathrm{terrifically}\:\mathrm{huge}\:\mathrm{numbers}... \\ $$