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" The value of "int(0)^( pi/2)(cos3x+1)/...

" The value of "int_(0)^( pi/2)(cos3x+1)/(2cos x-1)dx" is "

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The value of int_(0)^(pi//2) (cos3x+1)/(2 cos x-1) dx is

The value of int_(0)^((pi)/(2))(cos3x+1)/(cos x-1)dx is equal to

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int_(0)^(pi//2)(1)/(2+cos x)dx=

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

int_(0)^( pi/2)(sin x)/(1+cos x)dx

int_(0)^( pi/6)(sqrt(3cos2x-1))/(cos x)dx