If $\int e^x(\tan x-\log \cos x)dx=f(x)\log \sec x+c$, then range of f(x) is:
Answer & explanation
Correct answer: option 3
$\int e^x(\tan x-\log \cos x)=-e^x\log\cos x+c=e^x\log\sec x+c$
⇒ ex has range R+
If $\int e^x(\tan x-\log \cos x)dx=f(x)\log \sec x+c$, then range of f(x) is:
Correct answer: option 3
$\int e^x(\tan x-\log \cos x)=-e^x\log\cos x+c=e^x\log\sec x+c$
⇒ ex has range R+