Reduction Formulas for Logarithmic Functions
For logarithmic functions, reduction formulas are:
- ∫ lognx dx = xlognx -n∫logn-1x dx
- ∫xnlogmx dx = xn+1logmx/ (n+1) – {(m)/(n+1)}.∫xnlogm-1x dx
Reduction Formula
Reduction formula in mathematics is generally used for solving integration of higher order. Integration involving higher-order terms is difficult to handle and solve. So, to simplify the solving process of higher-order terms and get rid of the lengthy expression-solving process of higher-order degree terms – Integration processes can be simplified by using Reduction Formulas.
Table of Content
- What is Reduction Formula?
- Reduction Formulas for Logarithmic Functions
- Reduction Formulas for Algebraic Functions
- Reduction Formulas for Trigonometric Functions
- Reduction Formulas for Exponential Functions
- Reduction Formulas for Inverse Trigonometric Functions
- Examples Using Reduction Formula
- FAQs on Reduction Formula