Approximation of analytic functions in adaptive environment

In this paper, a mixed quadrature rule of degree of precision seven is formed for analytic functions by taking two constituent rules each of degree of precision five. Here the integral of analytic function is converted to real definite integrals with the help of double transformations. Then the mixed quadrature rule is tested in adaptive environment and it is obviously superior to that of Gauss-Legendre three-point rule.