Prove that `1/(secx-tanx)+1/(secx+tanx)=2/(cosx)`

Evaluate int(tanx)/(secx+tanx)dx

Differentiate wrt x : (sec x-tanx)/(secx+tanx)

intsecx(secx+tanx)dx

int secx / (secx+tanx)dx =

Prove that (sin-cosx+1)/(sinx+cosx-1)=secx+tanx

The integral int(sec^2x)/((secx+tanx)^(9/2))dx equals (for some arbitrary constant K)dot -1/((secx+tanx)^((11)/2)){1/(11)-1/7(secx+tanx)^2}+K 1/((secx+tanx)^(1/(11))){1/(11)-1/7(secx+tanx)^2}+K -1/((secx+tanx)^((11)/2)){1/(11)+1/7(secx+tanx)^2}+K 1/((secx+tanx)^((11)/2)){1/(11)+1/7(secx+tanx)^2}+K

The integral int(sec^2x)/((secx+tanx)^(9/2))dx equals (for some arbitrary constant K)dot -1/((secx+tanx)^((11)/2)){1/(11)-1/7(secx+tanx)^2}+K 1/((secx+tanx)^(1/(11))){1/(11)-1/7(secx+tanx)^2}+K -1/((secx+tanx)^((11)/2)){1/(11)+1/7(secx+tanx)^2}+K 1/((secx+tanx)^((11)/2)){1/(11)+1/7(secx+tanx)^2}+K

Evaluate: int(secx)/(secx+tanx)dxdot

Evaluate: int(secx)/(secx+tanx)dxdot

Evaluate: int(secx)/(secx+tanx)dxdot