Question

`int e^x [(2 + sin 2x)/(1 + cos 2x)]dx` = ______.

विकल्प

• e^x tan x + c

• e^x tan x – c

• 2e^x tan x + c

• e^x tan 2x + c

Answer 1

`int e^x [(2 + sin 2x)/(1 + cos 2x)]dx` = e^x tan x + c.

Explanation:

`int e^x [(2 + sin 2x)/(1 + cos 2x)]dx = inte^x[(2(1 + sin x cos x))/(2cos^2x)]`

= `int e^x [sec^2x + tanx]dx`

= e^x tan x + c