What is the solution for derivative of y=(2cos(x))/(1+sin(x)) ?

The solution for derivative of y=(2cos(x))/(1+sin(x)) is y=2ln(1+sin(x))+c_{1}

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derivative of y=(2cos(x))/(1+sin(x))

\frac{d}{d x} y = \frac{2 cos ( x )}{1 + sin ( x )}

y = 2 ln (1 + sin (x)) + c_{1}

Solution steps

\frac{d y}{d x} = \frac{2 cos ( x )}{1 + sin ( x )}

f^{^{'}} (x) = g (x)

then

f (x) = \int g (x) d x

y = \int \frac{2 cos ( x )}{1 + sin ( x )} d x

\int \frac{2 cos ( x )}{1 + sin ( x )} d x = 2 ln (1 + sin (x)) + c_{1}

y = 2 ln (1 + sin (x)) + c_{1}

What is the solution for derivative of y=(2cos(x))/(1+sin(x)) ?
The solution for derivative of y=(2cos(x))/(1+sin(x)) is y=2ln(1+sin(x))+c_{1}