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Please explain me the integration of sec^2 (x) . cosec^2 (x) dx

Please explain me the integration of sec^2 (x) . cosec^2 (x) dx

Grade:12

1 Answers

Nandana
110 Points
4 years ago
hi ,
  for obtain the integraion  first, by using partial fractions split the integrant into
                        ∫( 1/ cos2 x + 1/sin2 x) dx = ∫1/ cos2 x ∂x +∫1/sin2 x ∂x       
                                                                  = ∫sec2 x ∂x +∫ cosec2 x ∂x
                                                                  = tan x -cot x +c
                                                                     – –  thank you  – -

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