`int(tan^(2)x-cot^(2)x)dx=`

int(cot^(2)x+cot^(4)x)dx=

int (tan^2x+cot^2x)dx

int(x cot^(2)x)dx

int(tan x-2cot x)^(2)dx

int(1+tan^(2)x)/(1+cot^(2)x)dx-

int(1+tan^(2)x)/(1+cot^(2)x)dx

Integrate the following functions (i) int((1+x)^(4))/(x)dx (ii) int(e^(200x)+e^(202x))/(e^(x)+e^(-x))dx (iii) int(1+tan^(2)x)/(1+cot^(2)x)dx

int(tan^(-1)x-cot^(-1)x)/(tan^(-1)x+cot^(-1)x)dx equals

int x^(51)(tan^(-1)x+cot^(-1)x)dx=

int (tan x +cot x)^(2)dx