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int(0)^( pi/4)(dx)/(2+sin^(2)x)=...

int_(0)^( pi/4)(dx)/(2+sin^(2)x)=

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Evaluate: int_(0)^(pi/4)(dx)/(a^(2)sin^(2)x+b^(2)cos^(2)x)=(1)/(ab)tan^(-1)(a/b) , where a,b>0

int_(0)^( pi/2)(sin2x)/(sin^(4)x+cos^(4)x)backslash dx

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Show that int_(0)^(pi//4)(dx)/(cos^(4)x - cos^(2)x sin^(2) x + sin^(4)x) = (pi)/(2)

Show that int_(0)^(pi/4)(dx)/(cos^(4)x - cos^(2)x sin^(2) x + sin^(4) x) = pi/2

int_(0)^(pi//4)(sin 2 x)/(sin^(4) x + cos^(4) x ) dx =