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"If " int sinx d(secx)=f(x)-g(x)+c, then...

`"If " int sinx d(secx)=f(x)-g(x)+c,` then

A

`f(x)=secx`

B

`f(x)=tanx`

C

`g(x)=2x`

D

`g(x)=x`

Text Solution

Verified by Experts

The correct Answer is:
B, D
`int sinx d(secx)=int sinx(d(secx))/(dx)dx`
`=int sinx secx tan x dx`
`=int tan^(2)x dx`
`=int(sec^(2)x-1)dx`
`=tanx-x+C`
` :. f(x)=tanx,g(x)=x`
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