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}

\frac{d}{d x} (2 cos^{2} (\frac{x}{2}))

\frac{d y}{d x} + 0.7 y - 18.2 = 0

(7 x y^{2} - 3) d x + (7 x^{2} y + 4) d y = 0

\int_{0}^{3} x^{4} + 1 x^{3} d x

\int \frac{x ^{2} + 8 x + 1}{x ^{3} + 12 x ^{2} + 3 x + 6} d x

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}