10.5 Conclusion
Since Taylor series can be constructed for smooth functions, for the solution of an ordinary differential equation, and for an inverse function, we can approximate certain integrals in various ways by means of such series, in quite an effective manner.
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Hirayama, H. (2006). A Numerical Integration Method for Oscillatory Functions over an Infinite Interval by Substitution and Taylor Series. In: Constanda, C., Nashed, Z., Rollins, D. (eds) Integral Methods in Science and Engineering. Birkhäuser Boston. https://doi.org/10.1007/0-8176-4450-4_10
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