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int(0)^( pi/2)(1)/(x^(2)+2x cos alpha+1)...

int_(0)^( pi/2)(1)/(x^(2)+2x cos alpha+1)

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The value of the integral int_(0)^(1)(dx)/(x^(2)+2x cos alpha +1),0ltalpha lt pi is

The value of the integral int_(0)^(1)(dx)/(x^(2)+2x cos alpha +1),0ltalpha lt pi is

The value of the integral int_(0)^(1)(dx)/(x^(2)+2x cos alpha +1),0ltalpha lt pi is

The value of the integral int_(0)^(1) (dx)/( x^(2)+2x cos alpha +1) is equal to -

int_(0)^(pi//2) (dx)/(1+2 cos x)

int_(0)^(pi//2)(1)/(2+cos x)dx=

int_(0)^(pi/2)(x)/(1+cos x)dx =

int_(0)^((pi)/(2))(dx)/(1+2cos x)

int_(0)^( pi)(x)/(1+cos^(2)x)dx=

Prove that: int_(0)^( pi)(x)/(1-cos alpha sin x)dx=(pi(pi-alpha))/(sin alpha)