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

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

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Show that int_(0)^(1)(dx)/((1+x^(2))sqrt(2+x^(2))) = (pi)/(6)

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

Let I_(1) = int_(0)^(pi//4)1/((1+tanx)^(2))dx , I_(2) = int_(0)^(1)(dx)/((1+x)^(2)(1+x^(2))) Then find the value of (I_(1))/(I_(2)) .

Let I_(1) = int_(0)^(pi//4)1/((1+tanx)^(2))dx , I_(2) = int_(0)^(1)(dx)/((1+x)^(2)(1+x^(2))) Then find the value of (I_(1))/(I_(2)) .

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