Author(s): Sanjay Tahiliani

Abstract: We develop some new methods to differentiation, integrals, trigonometry and matrices. A simple and concise way to find the derivatives in parametric forms using logarithmic differentiation is introduced and it can be used for more functions involving derivatives of rational functions in parametric forms. We found another property of definite integrals with some new results and proofs and in trigonometry, we found some new formulas. Finally we had done research in symmetric and skew symmetric marices.

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