Numerical Integration of Analytic Function Through Extrapolation

In recent years mixed quadrature rule for analytic functions has been utilized in the field of Science and Technology. A mixed quadrature rule for degree of precision eleven has been established by taking two constituent rules each of degree of precision nine. The proposed mixed quadrature rule has been tested on different functions and comparable with different authors to find the best approximate solution to the exact results. Mixed quadrature rule on analytic function is applied in the field of adaptive quadrature which is essential in the physical sciences.