Question

integration sin 2x/1+sin^x (dx)=?
solve it plz
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Answer 1

Step-by-step explanation:

We have,

$\int \frac{ \sin(2x) }{1 + \sin^{2} (x) } dx$

Let sin²(x) = y

=> 2sin(x)cos(x) dx = dy

$\int \frac{dy}{1 + y}$

$= ln(1 + y) + c$

$= ln(1 + \sin^{2} (x) ) + c$