Question

The value of `int (sinx + cosx)/sqrt(1 - sin2x) dx` is equal to ______.

विकल्प

• `sqrt(sin 2x) + c`

• `sqrt(cos 2x) + c`

• `±(sin x - cos x) + c`

• `±log(sin x - cos x) + c`

Answer 1

The value of `int (sinx + cosx)/sqrt(1 - sin2x) dx` is equal to ± log(sin x – cos x) + c.

Explanation:

`int (sinx + cosx)/sqrt(1 - sin2x) dx`

= `±int(sinx + cosx)/(sinx - cosx)dx`

= ± log(sin x – cos x) + c