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

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

A

`tan x - sec x +C`

B

`log(1+sec x)+C`

C

`sec x+tan x+C`

D

`log sin x+log cos x+C`

Text Solution

Verified by Experts

The correct Answer is:
A
Let `I=int(secx)/(secx+tanx)dx`
`=int(secx(secx-tanx))/(sec^(2)x-tan^(2)x)dx`
`=int(sec^(2)x-secxtanx)dx`
`=tanx-secx+C`
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