`int_(-pi/4)^(pi/4)(dx)/(1+cos2x)` isA. `1`B. 2C. 3D. 4

1.	`int_(-pi/4)^(pi/4)(dx)/(1+cos2x)` isA. `1`B. 2C. 3D. 4
Answer» Correct Answer - A Let `I = int_(-pi//4)^(pi//4)(dx)/(1+cos2x) = int_(-pi//4)^(pi//4)(dx)/(2cos^(2)x)` `= 1/2int_(-pi//4)^(pi//4) sec^(2)xdx = int_(0)^(pi//4) sec^(2)xdx = [tanx]_(0)^(pi//4) = 1`

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