(cos2x)/(cos^(2)x)

Evaluate the following integrals: int(2cos^2x-cos2x)/(cos^2x) dx

Evaluate : (i) int (cos2x+2sin^2x)/(sin^2x)dx (ii) int(2cos^2x-cos2x)/(cos^2x)dx

If maximum and minimum values of the determinant |{:(1 + cos^(2)x , sin^(2) x, cos 2x),(cos^(2) x , 1 + sin^(2)x, cos 2x),(cos^(2) x , sin^(2) x , 1 + cos 2 x):}| are alpha and beta then

Evaluate: int_0^(pi//2)(cos^2x)/(cos^2x+4sin^2x)dx

Evaluate: int_0^(pi//2)(cos^2x)/(cos^2x+4sin^2x)dx

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=

Evaluate: (i) int(cos2x+2s epsilon^(2)x)/(cos^(2)x)dx (ii) int(2cos^(2)x-cos2x)/(s in^(2)x)dx

Evaluate the definite integral: int_0^(pi/2) (cos^2x)/(cos^2x+4sin^2x)dx