Abstract
This paper introduces new integration methods for numerical integration problems in science and engineering
applications. It is shown that the exact results of these integrals can be obtained by these methods with the
use of only 2 segments. So no additional function and integrand evaluations are required for different levels
of computation. This situation overcomes the computational inefficiency. A new Matlab Package;
Integral_Calculator is presented. Integral_Calculator provides a user-friendly computational platform which
requires only 3 data entries from the user and performs the integration and give the results for any functions
to be integrated. This package has been tested for each numerical example considered below.
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