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

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

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

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

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

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

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

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