`int_(0)^(1)(dx)/(2+x)`

int_(0)^(1)(dx)/((2x-3))

int_(0)^(1)(dx)/(3x+2)

Evaluate : int_(0)^(1)(dx)/( 2x + 3 )

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

int_(0)^(1)(dx)/(x^((1)/(2))(1-x)^((1)/(2)))

The value of the integral int_(0)^(1)(dx)/(x^(2)+2x cos alpha +1),0ltalpha lt pi is

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

Evaluate int_(0)^(1)(dx)/((5+2x-2x^(2))(1+e^(2-4x)))dx

The value of the integral int_(0)^(1)(dx)/(x^(2)+2xcosalpha+1) , where 0 lt alpha lt (pi)/(2) , is equal to :

Let I_(1) = int_(0)^(pi//4)1/((1+tanx)^(2))dx , I_(2) = int_(0)^(1)(dx)/((1+x)^(2)(1+x^(2))) Then find the value of (I_(1))/(I_(2)) .