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int0^pisqrt(1+4sin^2(x/2)-2sin(x/2))dx...

`int_0^pisqrt(1+4sin^2(x/2)-2sin(x/2))dx`

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The integral int_0^pi sqrt(1 + 4 sin^2(x/2) - 4 sin (x/2)) dx equals :

int_(0)^( pi)sqrt(1+4sin^(2)((x)/(2))-2sin((x)/(2)))dx

The integral int_(0)^(x)sqrt(1+4sin^(2)""(x)/(2)-4sin""(x)/(2))dx equals-

Fundamental theorem of definite integral : int_(0)^(pi)sqrt(1+4sin^(2)""(x)/(2)-4sin""(x)/(2))dx=......

int_0^(2pi) sqrt(1 + sin( x/2)) dx is :

int_(0)^(pi//4)sqrt((1-sin2x)/(1+sin 2x))dx=

Prove that the value of : int_0^pi(sin(n+1/2)x)/sin(x/2)dx=pi