Int1/sinxtanx?

1 Answer
Apr 27, 2018

Shown below

Explanation:

#int 1/(sinx tanx ) dx #

#=> int 1/ ( sinx * sinx/cosx ) dx #

#=> int 1/ ( sin^2 x / cosx ) dx #

#=> int cosx / sin^2x dx #

# u = sinx #

#=> du = cosx dx #

#=> int 1/u^2 du #

#= -u^(-1) + c #

#= - 1/sinx + c #

or # - cscx +c #