f(tan)int((1-x^(2))^(3))/(x^(2))dx

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

int((tan^(-1)x)^(3))/(1+x^(2))dx is equal to

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

int x^(2)tan(x^(3))dx

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

If f(x)=int((1-ln(tan^(-1)x))/(1+(ln(tan^(-1)x))^(2)))^(2)(dx)/(1+x^(2)) then f(tan1)-f(tan(1)/(e)) is equal to

int (tan^(-1)x dx)/((1+x^(2))^((3)/(2))

int (tan^(-1)x)^(3)/(1+x^(2)) dx is equal to

int(((tan((1)/(x)))/(x))^(2)dx=