Evaluate: `int1/(1+sinx)\ dx`

Explanation

`\text { evaluate: } I=\int \frac{4 a}{1+\sin x}`


`-I=\int-\frac{1}{1+\sin x} \times \frac{1-\sin x}{1-\sin x} d x`


`\Rightarrow I=1 \frac{1-\sin x}{1-\sin ^{2} x} d x`


`\Rightarrow I=\int \frac{1-\sin x}{\cos ^{2} x} d x`


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