1. The problem statement, all variables and given/known data
[itex]∫sec(x)tan(x)+x/(x^2+1) dx[/itex]
3. The attempt at a solution
I replaced sec and tan by [itex]1/cos(x)[/itex] and [itex]sin/cos(x)[/itex] then end up with [itex]sin(x)/cos^2(x)[/itex]
then I replace [itex]cos^2 x [/itex] by [itex]1-sin^2 x [/itex] then I dont know where to go.
the second part of the equation works with u substitution.
I just cant see where the identities of the first part are leading me.
any hint? thanks in advance!
[itex]∫sec(x)tan(x)+x/(x^2+1) dx[/itex]
3. The attempt at a solution
I replaced sec and tan by [itex]1/cos(x)[/itex] and [itex]sin/cos(x)[/itex] then end up with [itex]sin(x)/cos^2(x)[/itex]
then I replace [itex]cos^2 x [/itex] by [itex]1-sin^2 x [/itex] then I dont know where to go.
the second part of the equation works with u substitution.
I just cant see where the identities of the first part are leading me.
any hint? thanks in advance!
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