`intsqrt(1-sinx)dx`

Explanation

`I=int sqrt{1-sin x} d x`
`
.=int sqrt{1-sin x times(frac{1+sin x}{1+sin x}.}) d x`
`
=int sqrt{(frac{1^{2}-sin ^{2} x}{1+sin ^{x}}) d x}`
`
=int(frac{cos x}{sqrt{1+sin x}}) d x`

let `1+sin x=t`

then `cos x d x=dt `
`
or I=int(frac{1}{sqrt{t}}) d t`
`
=(frac{sqrtt}{(frac{1}{2})})+C`
`
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