Evaluate: `intsqrt(cos e c\ x-1)\ dx`

Explanation

I=`intsqrt(cos e c\ x-1)\ dx`

I=`intsqrt(1/(sinx)-1)\ dx`

I=`intsqrt(1-sinx)/(sqrt(sinx)) dx`

I=`intsqrt((cos^x/2+sin^2(x/2)-2sin(x/2)cos(x/2))/(sqrt(sinx)) dx`

`I=int (cos^(x/2)-sin(x/2))/(sqrt(sinx)) dx`

`I=sqrt(2)int (1/(sqrt2)cos(x/2)-1/(sqrt2)sin(x/2))/(sqrt(sinx)) dx`

`I=sqrt(2)int ((sin(pi)/4)cos(x/2)-(cos(pi)/4)sin(x/2))/(sqrt(sinx)) dx`

`I=int (sqrt(2)sin((pi)/4-x/2))/(sqrt(2cos^2((pi)/4-x/2)-1))+c`

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