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The integral int (sec^2x)/(secx+tanx)^(9...

The integral `int (sec^2x)/(secx+tanx)^(9/2)dx` equals to (for some arbitrary constant `K`) (A) `-1/(secx+tanx)^(11/2){1/11-1/7(secx+tanx)^2}+K` (B) `1/(secx+tanx)^(11/2){1/11-1/7(secx+tanx)^2}+K` (C) `-1/(secx+tanx)^(11/2){1/11+1/7(secx+tanx)^2}+K` (D) `1/(secx+tanx)^(11/2){1/11+1/7(secx+tanx)^2}+K`

A

`(-1)/(secx+tanx)^(11//2){1/11-1/7(secx+tanx)^(2)}+K`

B

`(1)/(secx+tanx)^(11//2){1/11-1/7(secx+tanx)^(2)}+K`

C

`(-1)/(secx+tanx)^(11//2){1/11+1/7(secx+tanx)^(2)}+K`

D

`(1)/(secx+tanx)^(11//2){1/11+1/7(secx+tanx)^(2)}+K`

Text Solution

Verified by Experts

The correct Answer is:
C
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