Question

$\int_{}^{}e^{x}\left\{ \frac{1 + \sin x\cos x}{\cos^{2}x} \right\}$dx is equal to –

• A. e^x cos x + c
• B. e^x sec x . tan x + c
• C. e^x tan x + c
• D. e^x cos²x –1 + c

Answer 1

Answer: (C)

e^x tan x + c

Answer 2

= { sec²x + tanx}

= e^x tan x + c