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" Evaluate: "int(0)^((4)/(4))(cos^(2)x)/...

" Evaluate: "int_(0)^((4)/(4))(cos^(2)x)/(cos^(2)x+4sin^(2)x)dx

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

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

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

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

Evaluate : int_(0)^((pi)/(4)) (cos x)/(4-sin^(2)x)dx