Question

`int(1 - 2sin x)/(cos^2x) dx` is equal ______.

विकल्प

• tan x – 2 sec x + C

• − tan x + 2 sec x + C

• − tan x − 2 sec x + C

• tan x + 2 sec x + С

Answer 1

`int(1 - 2sin x)/(cos^2x) dx` is equal tan x – 2 sec x + C.

Explanation:

`int(1 - 2sin x)/(cos^2x)  dx = int(1/(cos^2x) - (2sin x)/(cos^2x)dx)`

= `int(sec^2x - 2 tan x sec x)dx`

= tan x − 2sec x + c