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(secx-tanx)/(secx+tanx)...

`(secx-tanx)/(secx+tanx)`

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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)/(log(secx+tanx)dx